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124,032

124,032 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

124,032 (one hundred twenty-four thousand thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 17 × 19. Its proper divisors sum to 243,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E480.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
230,421
Recamán's sequence
a(238,100) = 124,032
Square (n²)
15,383,937,024
Cube (n³)
1,908,100,476,960,768
Divisor count
64
σ(n) — sum of divisors
367,200
φ(n) — Euler's totient
36,864
Sum of prime factors
53

Primality

Prime factorization: 2 7 × 3 × 17 × 19

Nearest primes: 124,021 (−11) · 124,067 (+35)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 19 · 24 · 32 · 34 · 38 · 48 · 51 · 57 · 64 · 68 · 76 · 96 · 102 · 114 · 128 · 136 · 152 · 192 · 204 · 228 · 272 · 304 · 323 · 384 · 408 · 456 · 544 · 608 · 646 · 816 · 912 · 969 · 1088 · 1216 · 1292 · 1632 · 1824 · 1938 · 2176 · 2432 · 2584 · 3264 · 3648 · 3876 · 5168 · 6528 · 7296 · 7752 · 10336 · 15504 · 20672 · 31008 · 41344 · 62016 (half) · 124032
Aliquot sum (sum of proper divisors): 243,168
Factor pairs (a × b = 124,032)
1 × 124032
2 × 62016
3 × 41344
4 × 31008
6 × 20672
8 × 15504
12 × 10336
16 × 7752
17 × 7296
19 × 6528
24 × 5168
32 × 3876
34 × 3648
38 × 3264
48 × 2584
51 × 2432
57 × 2176
64 × 1938
68 × 1824
76 × 1632
96 × 1292
102 × 1216
114 × 1088
128 × 969
136 × 912
152 × 816
192 × 646
204 × 608
228 × 544
272 × 456
304 × 408
323 × 384
First multiples
124,032 · 248,064 (double) · 372,096 · 496,128 · 620,160 · 744,192 · 868,224 · 992,256 · 1,116,288 · 1,240,320

Sums & aliquot sequence

As consecutive integers: 41,343 + 41,344 + 41,345 7,288 + 7,289 + … + 7,304 6,519 + 6,520 + … + 6,537 2,407 + 2,408 + … + 2,457
Aliquot sequence: 124,032 243,168 437,232 692,408 638,152 558,398 304,810 332,822 237,754 158,822 79,414 41,906 23,758 16,994 9,466 4,736 4,954 — unresolved within range

Continued fraction of √n

√124,032 = [352; (5, 1, 1, 175, 1, 1, 5, 704)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand thirty-two
Ordinal
124032nd
Binary
11110010010000000
Octal
362200
Hexadecimal
0x1E480
Base64
AeSA
One's complement
4,294,843,263 (32-bit)
Scientific notation
1.24032 × 10⁵
As a duration
124,032 s = 1 day, 10 hours, 27 minutes, 12 seconds
In other bases
ternary (3) 20022010210
quaternary (4) 132102000
quinary (5) 12432112
senary (6) 2354120
septenary (7) 1024416
nonary (9) 208123
undecimal (11) 85207
duodecimal (12) 5b940
tridecimal (13) 445bc
tetradecimal (14) 332b6
pentadecimal (15) 26b3c

As an angle

124,032° = 344 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκδλβʹ
Mayan (base 20)
𝋯·𝋪·𝋡·𝋬
Chinese
一十二萬四千零三十二
Chinese (financial)
壹拾貳萬肆仟零參拾貳
In other modern scripts
Eastern Arabic ١٢٤٠٣٢ Devanagari १२४०३२ Bengali ১২৪০৩২ Tamil ௧௨௪௦௩௨ Thai ๑๒๔๐๓๒ Tibetan ༡༢༤༠༣༢ Khmer ១២៤០៣២ Lao ໑໒໔໐໓໒ Burmese ၁၂၄၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124032, here are decompositions:

  • 11 + 124021 = 124032
  • 31 + 124001 = 124032
  • 43 + 123989 = 124032
  • 53 + 123979 = 124032
  • 59 + 123973 = 124032
  • 79 + 123953 = 124032
  • 101 + 123931 = 124032
  • 109 + 123923 = 124032

Showing the first eight; more decompositions exist.

Hex color
#01E480
RGB(1, 228, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.128.

Address
0.1.228.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.228.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 124,032 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.