Recognised as Number

1,402,920

Positive
Even
Composite
7 digits

1,402,920 is an even 7-digit integer and a composite number. It has 80 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,402,920

Digit count7

Digit sum18

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 3^4 × 5 × 433

Distinct prime factors42, 3, 5, 433

Number of divisors80

Sum of divisors σ(n)4,726,260

Aliquot sum3,323,340sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)373,248integers below n that share no factor with it

Carmichael function λ(n)432the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 373,248

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 433, 540, 648, 810, 866, 1,080, 1,299, 1,620, 1,732, 2,165, 2,598, 3,240, 3,464, 3,897, 4,330, 5,196, 6,495, 7,794, 8,660, 10,392, 11,691, 12,990, 15,588, 17,320, 19,485, 23,382, 25,980, 31,176, 35,073, 38,970, 46,764, 51,960, 58,455, 70,146, 77,940, 93,528, 116,910, 140,292, 155,880, 175,365, 233,820, 280,584, 350,730, 467,640, 701,460, 1,402,92080 in total

Arithmetic

Previous number1,402,919

Next number1,402,921

Double2,805,840

Half701,460

Square1,968,184,526,400

Cube2,761,205,435,777,088,000

Square root1,184.449239098≈irrational, shown to 9 decimal places

Cube root111.946615715≈

Negation-1,402,920

Reciprocal7.12799019 × 10^-7≈

Representations

Decimal1,402,920

Binary10101011010000010100021 bits

Octal5264050

Hexadecimal156828

Base 36U2I0

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsone million, four hundred and two thousand, nine hundred and twenty

Ordinalone million, four hundred and two thousand, nine hundred and twentieth

Scientific notation1.40292 × 10^6

Engineering notation1.40292 × 10^6

In other bases

Ternary2122021110000base 3; the most digit-efficient integer base after e: 13 digits

Quinary324343140base 5; one hand: 9 digits

Septenary14632101base 7: 8 digits

Nonary2567400base 9; each digit is two ternary digits: 7 digits

Duodecimal577a60base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8f760base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:29:42:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10T0T1T1110000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010101011100001111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010110100000101000

Bit length21 bitsto write the magnitude

Set bits8the population count, or Hamming weight

Zero bits13within that length

Bit parityeven8 set bits, so even; not the same as the number itself being even

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 33 trailing zeros

Power of twoNo

Bytes315 68 28

Gray code111111101110000111100n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010110100000101000

64-bit0000000000000000000000000000000000000000000101010110100000101000

One's complement11111111111010101001011111010111at 32 bits, every bit flipped

Bits reversed00010100000101101010100000000000at 32 bits

Rotated left by 100000000001010101101000001010000at 32 bits, wrapping

Shifted left by 11010101101000001010000= 2,805,840, no wrap

Shifted right by 110101011010000010100= 701,460, discarding the low bit

These bits as a double6.93134576 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,402,937+17

Previous prime1,402,901−19

Distance to nearest prime17

Nearest square below1,401,856

Nearest square above1,404,225

Powers & multiples

1,402,920 to the power 21,968,184,526,400

1,402,920 to the power 32,761,205,435,777,088,000

1,402,920 to the power 43,873,750,329,960,392,296,960,000

1,402,920 to the power 55,434,561,812,908,033,561,251,123,200,000

First ten multiples1,402,920, 2,805,840, 4,208,760, 5,611,680, 7,014,600, 8,417,520, 9,820,440, 11,223,360, 12,626,280, 14,029,200

Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6Yes

Divisible by 7No, remainder 1

Divisible by 8Yes

Divisible by 9Yes

Divisible by 10Yes

Divisible by 11No, remainder 2

Divisible by 12Yes

Divisible by 100No, remainder 20

Collatz (3n + 1) trajectory

Steps to reach 149the total stopping time

Highest value reached1,402,920

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,402,920 → 701,460 → 350,730 → 175,365 → 526,096 → 263,048 → 131,524 → 65,762 → 32,881 → 98,644 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage140,292,000%

1,402,920% as a decimal14,029.2

1,402,920% of 1001,402,920

1,402,920% of 1,00014,029,200

As a fraction of 1001,402,920/100

Read another way

As seconds16 days, 5 hours and 42 minutes

As bytes1.338 MiB

As a 24-bit colour#156828

Keep nerding

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