Number

32,040

Positive
Even
Composite
5 digits

32,040 is an even 5-digit integer and a composite number. It has 48 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value32,040

Digit count5

Digit sum9

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 × 3^2 × 5 × 89

Distinct prime factors42, 3, 5, 89

Number of divisors48

Sum of divisors σ(n)105,300

Aliquot sum73,260sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)8,448integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1,068, 1,335, 1,602, 1,780, 2,136, 2,670, 3,204, 3,560, 4,005, 5,340, 6,408, 8,010, 10,680, 16,020, 32,04048 in total

Arithmetic

Previous number32,039

Next number32,041

Double64,080

Half16,020

Square1,026,561,600

Cube32,891,033,664,000

Square root178.997206682≈irrational, shown to 9 decimal places

Cube root31.761243873≈

Negation-32,040

Reciprocal0.000031211≈

Representations

Decimal32,040

Binary11111010010100015 bits

Octal76450

Hexadecimal7D28

Base 36OQ0

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

In wordsthirty-two thousand and forty

Ordinalthirty-two thousand and fortieth

Scientific notation3.204 × 10^4

Engineering notation32.04 × 10^3

Nearest landmarks

Next prime32,051+11

Previous prime32,029−11

Distance to nearest prime11

Nearest square below31,684

Nearest square above32,041

Powers & multiples

32,040 to the power 21,026,561,600

32,040 to the power 332,891,033,664,000

32,040 to the power 41,053,828,718,594,560,000

32,040 to the power 533,764,672,143,769,702,400,000

First ten multiples32,040, 64,080, 96,120, 128,160, 160,200, 192,240, 224,280, 256,320, 288,360, 320,400

Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)

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 8

Divisible by 12Yes

Divisible by 100No, remainder 40

Collatz (3n + 1) trajectory

Steps to reach 1147the total stopping time

Highest value reached32,040

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

First steps32,040 → 16,020 → 8,010 → 4,005 → 12,016 → 6,008 → 3,004 → 1,502 → 751 → 2,254 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage3,204,000%

32,040% as a decimal320.4

32,040% of 10032,040

32,040% of 1,000320,400

As a fraction of 10032,040/100

Read another way

As seconds8 hours and 54 minutes

As bytes31.289 KiB

As a 24-bit colour#007D28

Keep nerding

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