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135,672

135,672 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.).

135,672 (one hundred thirty-five thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,653. Its proper divisors sum to 203,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x211F8.

Abundant Number Evil Number Gapful Number Harshad / Niven Moran Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,260
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
276,531
Square (n²)
18,406,891,584
Cube (n³)
2,497,299,794,984,448
Divisor count
16
σ(n) — sum of divisors
339,240
φ(n) — Euler's totient
45,216
Sum of prime factors
5,662

Primality

Prime factorization: 2 3 × 3 × 5653

Nearest primes: 135,671 (−1) · 135,697 (+25)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5653 · 11306 · 16959 · 22612 · 33918 · 45224 · 67836 (half) · 135672
Aliquot sum (sum of proper divisors): 203,568
Factor pairs (a × b = 135,672)
1 × 135672
2 × 67836
3 × 45224
4 × 33918
6 × 22612
8 × 16959
12 × 11306
24 × 5653
First multiples
135,672 · 271,344 (double) · 407,016 · 542,688 · 678,360 · 814,032 · 949,704 · 1,085,376 · 1,221,048 · 1,356,720

Sums & aliquot sequence

As consecutive integers: 45,223 + 45,224 + 45,225 8,472 + 8,473 + … + 8,487 2,803 + 2,804 + … + 2,850
Aliquot sequence: 135,672 203,568 322,440 645,240 1,399,560 2,877,240 5,754,840 17,469,480 43,515,960 87,032,280 176,791,560 410,728,440 821,457,240 1,667,350,920 3,390,937,080 6,781,874,520 13,676,221,320 — keeps growing

Continued fraction of √n

√135,672 = [368; (2, 1, 31, 2, 1, 3, 6, 1, 4, 3, 2, 5, 1, 1, 1, 9, 2, 3, 1, 7, 1, 1, 2, 7, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand six hundred seventy-two
Ordinal
135672nd
Binary
100001000111111000
Octal
410770
Hexadecimal
0x211F8
Base64
AhH4
One's complement
4,294,831,623 (32-bit)
Scientific notation
1.35672 × 10⁵
As a duration
135,672 s = 1 day, 13 hours, 41 minutes, 12 seconds
In other bases
ternary (3) 20220002220
quaternary (4) 201013320
quinary (5) 13320142
senary (6) 2524040
septenary (7) 1103355
nonary (9) 226086
undecimal (11) 92a29
duodecimal (12) 66620
tridecimal (13) 499a4
tetradecimal (14) 3762c
pentadecimal (15) 2a2ec
Palindromic in base 11

As an angle

135,672° = 376 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεχοβʹ
Mayan (base 20)
𝋰·𝋳·𝋣·𝋬
Chinese
一十三萬五千六百七十二
Chinese (financial)
壹拾參萬伍仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٥٦٧٢ Devanagari १३५६७२ Bengali ১৩৫৬৭২ Tamil ௧௩௫௬௭௨ Thai ๑๓๕๖๗๒ Tibetan ༡༣༥༦༧༢ Khmer ១៣៥៦៧២ Lao ໑໓໕໖໗໒ Burmese ၁၃၅၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135672, here are decompositions:

  • 11 + 135661 = 135672
  • 23 + 135649 = 135672
  • 59 + 135613 = 135672
  • 71 + 135601 = 135672
  • 73 + 135599 = 135672
  • 79 + 135593 = 135672
  • 83 + 135589 = 135672
  • 101 + 135571 = 135672

Showing the first eight; more decompositions exist.

Unicode codepoint
𡇸
CJK Unified Ideograph-211F8
U+211F8
Other letter (Lo)

UTF-8 encoding: F0 A1 87 B8 (4 bytes).

Hex color
#0211F8
RGB(2, 17, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.248.

Address
0.2.17.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.248

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 135,672 and was likely granted around 1872.

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

Position in π

The digit sequence 135672 first appears in π at position 91,045 of the decimal expansion (the 91,045ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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