Number

60,040

Positive
Even
Composite
5 digits

60,040 is an even 5-digit integer and a composite number. It has 32 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value60,040

Digit count5

Digit sum10

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 5 × 19 × 79

Distinct prime factors42, 5, 19, 79

Number of divisors32

Sum of divisors σ(n)144,000

Aliquot sum83,960sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)22,464integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 79, 95, 152, 158, 190, 316, 380, 395, 632, 760, 790, 1,501, 1,580, 3,002, 3,160, 6,004, 7,505, 12,008, 15,010, 30,020, 60,04032 in total

Arithmetic

Previous number60,039

Next number60,041

Double120,080

Half30,020

Square3,604,801,600

Cube216,432,288,064,000

Square root245.030610333≈irrational, shown to 9 decimal places

Cube root39.157374185≈

Negation-60,040

Reciprocal0.0000166556≈

Representations

Decimal60,040

Binary111010101000100016 bits

Octal165210

HexadecimalEA88

Base 361ABS

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

In wordssixty thousand and forty

Ordinalsixty thousand and fortieth

Scientific notation6.004 × 10^4

Engineering notation60.04 × 10^3

Nearest landmarks

Next prime60,041+1

Previous prime60,037−3

Distance to nearest prime1

Nearest square below60,025

Nearest square above60,516

Powers & multiples

60,040 to the power 23,604,801,600

60,040 to the power 3216,432,288,064,000

60,040 to the power 412,994,594,575,362,560,000

60,040 to the power 5780,195,458,304,768,102,400,000

First ten multiples60,040, 120,080, 180,120, 240,160, 300,200, 360,240, 420,280, 480,320, 540,360, 600,400

Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

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 1

Divisible by 8Yes

Divisible by 9No, remainder 1

Divisible by 10Yes

Divisible by 11No, remainder 2

Divisible by 12No, remainder 4

Divisible by 100No, remainder 40

Collatz (3n + 1) trajectory

Steps to reach 1179the total stopping time

Highest value reached250,5044× the starting value

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

First steps60,040 → 30,020 → 15,010 → 7,505 → 22,516 → 11,258 → 5,629 → 16,888 → 8,444 → 4,222 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage6,004,000%

60,040% as a decimal600.4

60,040% of 10060,040

60,040% of 1,000600,400

As a fraction of 10060,040/100

Read another way

As seconds16 hours, 40 minutes and 40 seconds

As bytes58.633 KiB

As a 24-bit colour#00EA88

Keep nerding

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