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135,372

135,372 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.).

135,372 (one hundred thirty-five thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 389. Its proper divisors sum to 192,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
630
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
273,531
Square (n²)
18,325,578,384
Cube (n³)
2,480,770,196,998,848
Divisor count
24
σ(n) — sum of divisors
327,600
φ(n) — Euler's totient
43,456
Sum of prime factors
425

Primality

Prime factorization: 2 2 × 3 × 29 × 389

Nearest primes: 135,367 (−5) · 135,389 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 348 · 389 · 778 · 1167 · 1556 · 2334 · 4668 · 11281 · 22562 · 33843 · 45124 · 67686 (half) · 135372
Aliquot sum (sum of proper divisors): 192,228
Factor pairs (a × b = 135,372)
1 × 135372
2 × 67686
3 × 45124
4 × 33843
6 × 22562
12 × 11281
29 × 4668
58 × 2334
87 × 1556
116 × 1167
174 × 778
348 × 389
First multiples
135,372 · 270,744 (double) · 406,116 · 541,488 · 676,860 · 812,232 · 947,604 · 1,082,976 · 1,218,348 · 1,353,720

Sums & aliquot sequence

As consecutive integers: 45,123 + 45,124 + 45,125 16,918 + 16,919 + … + 16,925 5,629 + 5,630 + … + 5,652 4,654 + 4,655 + … + 4,682
Aliquot sequence: 135,372 192,228 264,060 569,388 817,620 1,471,884 1,987,236 3,036,146 1,703,974 894,074 451,546 247,718 136,762 86,438 55,042 38,198 20,122 — unresolved within range

Continued fraction of √n

√135,372 = [367; (1, 13, 6, 1, 1, 3, 1, 4, 2, 3, 1, 1, 1, 1, 2, 1, 1, 30, 12, 2, 3, 1, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred seventy-two
Ordinal
135372nd
Binary
100001000011001100
Octal
410314
Hexadecimal
0x210CC
Base64
AhDM
One's complement
4,294,831,923 (32-bit)
Scientific notation
1.35372 × 10⁵
As a duration
135,372 s = 1 day, 13 hours, 36 minutes, 12 seconds
In other bases
ternary (3) 20212200210
quaternary (4) 201003030
quinary (5) 13312442
senary (6) 2522420
septenary (7) 1102446
nonary (9) 225623
undecimal (11) 92786
duodecimal (12) 66410
tridecimal (13) 49803
tetradecimal (14) 37496
pentadecimal (15) 2a19c

As an angle

135,372° = 376 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλετοβʹ
Mayan (base 20)
𝋰·𝋲·𝋨·𝋬
Chinese
一十三萬五千三百七十二
Chinese (financial)
壹拾參萬伍仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٥٣٧٢ Devanagari १३५३७२ Bengali ১৩৫৩৭২ Tamil ௧௩௫௩௭௨ Thai ๑๓๕๓๗๒ Tibetan ༡༣༥༣༧༢ Khmer ១៣៥៣៧២ Lao ໑໓໕໓໗໒ Burmese ၁၃၅၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135372, here are decompositions:

  • 5 + 135367 = 135372
  • 19 + 135353 = 135372
  • 23 + 135349 = 135372
  • 43 + 135329 = 135372
  • 53 + 135319 = 135372
  • 71 + 135301 = 135372
  • 89 + 135283 = 135372
  • 101 + 135271 = 135372

Showing the first eight; more decompositions exist.

Unicode codepoint
𡃌
CJK Unified Ideograph-210Cc
U+210CC
Other letter (Lo)

UTF-8 encoding: F0 A1 83 8C (4 bytes).

Hex color
#0210CC
RGB(2, 16, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.204.

Address
0.2.16.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.204

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 135,372 and was likely granted around 1872.

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°.