Recognised as Number

1,399,960

Positive
Even
Composite
7 digits

1,399,960 is an even 7-digit integer and a composite number. It has 32 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,399,960

Digit count7

Digit sum37

Digit product0zero, because one of the digits is zero

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

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 5 × 31 × 1,129

Distinct prime factors42, 5, 31, 1,129

Number of divisors32

Sum of divisors σ(n)3,254,400

Aliquot sum1,854,440sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)541,440integers below n that share no factor with it

Carmichael function λ(n)5,640the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 541,440

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1,129, 1,240, 2,258, 4,516, 5,645, 9,032, 11,290, 22,580, 34,999, 45,160, 69,998, 139,996, 174,995, 279,992, 349,990, 699,980, 1,399,96032 in total

Arithmetic

Previous number1,399,959

Next number1,399,961

Double2,799,920

Half699,980

Square1,959,888,001,600

Cube2,743,764,806,719,936,000

Square root1,183.199053414≈irrational, shown to 9 decimal places

Cube root111.86782878≈

Negation-1,399,960

Reciprocal7.14306123 × 10^-7≈

Representations

Decimal1,399,960

Binary10101010111001001100021 bits

Octal5256230

Hexadecimal155C98

Base 36U07S

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

In wordsone million, three hundred and ninety-nine thousand, nine hundred and sixty

Ordinalone million, three hundred and ninety-nine thousand, nine hundred and sixtieth

Scientific notation1.39996 × 10^6

Engineering notation1.39996 × 10^6

In other bases

Ternary2122010101101base 3; the most digit-efficient integer base after e: 13 digits

Quinary324244320base 5; one hand: 9 digits

Septenary14620342base 7: 8 digits

Nonary2563341base 9; each digit is two ternary digits: 7 digits

Duodecimal5761b4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8eji0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:28:52:40base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10T0T010101101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010101010110111101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010101110010011000

Bit length21 bitsto write the magnitude

Set bits10the population count, or Hamming weight

Zero bits11within that length

Bit parityeven10 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 5c 98

Gray code111111111001011010100n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010101110010011000

64-bit0000000000000000000000000000000000000000000101010101110010011000

One's complement11111111111010101010001101100111at 32 bits, every bit flipped

Bits reversed00011001001110101010100000000000at 32 bits

Rotated left by 100000000001010101011100100110000at 32 bits, wrapping

Shifted left by 11010101011100100110000= 2,799,920, no wrap

Shifted right by 110101010111001001100= 699,980, discarding the low bit

These bits as a double6.91672142 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,399,963+3

Previous prime1,399,943−17

Distance to nearest prime3

Nearest square below1,399,489

Nearest square above1,401,856

Powers & multiples

1,399,960 to the power 21,959,888,001,600

1,399,960 to the power 32,743,764,806,719,936,000

1,399,960 to the power 43,841,160,978,815,641,602,560,000

1,399,960 to the power 55,377,471,723,902,745,617,919,897,600,000

First ten multiples1,399,960, 2,799,920, 4,199,880, 5,599,840, 6,999,800, 8,399,760, 9,799,720, 11,199,680, 12,599,640, 13,999,600

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6No, remainder 4

Divisible by 7No, remainder 2

Divisible by 8Yes

Divisible by 9No, remainder 1

Divisible by 10Yes

Divisible by 11No, remainder 1

Divisible by 12No, remainder 4

Divisible by 100No, remainder 60

Collatz (3n + 1) trajectory

Steps to reach 193the total stopping time

Highest value reached1,399,960

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

First steps1,399,960 → 699,980 → 349,990 → 174,995 → 524,986 → 262,493 → 787,480 → 393,740 → 196,870 → 98,435 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage139,996,000%

1,399,960% as a decimal13,999.6

1,399,960% of 1001,399,960

1,399,960% of 1,00013,999,600

As a fraction of 1001,399,960/100

Read another way

As seconds16 days, 4 hours and 52 minutes

As bytes1.335 MiB

As a 24-bit colour#155C98

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.