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135,552

135,552 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.).

135,552 (one hundred thirty-five thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 353. Its proper divisors sum to 225,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21180.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
750
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
255,531
Square (n²)
18,374,344,704
Cube (n³)
2,490,679,173,316,608
Divisor count
32
σ(n) — sum of divisors
361,080
φ(n) — Euler's totient
45,056
Sum of prime factors
370

Primality

Prime factorization: 2 7 × 3 × 353

Nearest primes: 135,533 (−19) · 135,559 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 353 · 384 · 706 · 1059 · 1412 · 2118 · 2824 · 4236 · 5648 · 8472 · 11296 · 16944 · 22592 · 33888 · 45184 · 67776 (half) · 135552
Aliquot sum (sum of proper divisors): 225,528
Factor pairs (a × b = 135,552)
1 × 135552
2 × 67776
3 × 45184
4 × 33888
6 × 22592
8 × 16944
12 × 11296
16 × 8472
24 × 5648
32 × 4236
48 × 2824
64 × 2118
96 × 1412
128 × 1059
192 × 706
353 × 384
First multiples
135,552 · 271,104 (double) · 406,656 · 542,208 · 677,760 · 813,312 · 948,864 · 1,084,416 · 1,219,968 · 1,355,520

Sums & aliquot sequence

As consecutive integers: 45,183 + 45,184 + 45,185 402 + 403 + … + 657 208 + 209 + … + 560
Aliquot sequence: 135,552 225,528 338,352 733,008 1,160,720 1,785,520 2,745,440 3,741,040 5,061,968 4,745,626 2,382,374 1,191,190 1,911,434 1,365,334 701,786 356,518 178,262 — unresolved within range

Continued fraction of √n

√135,552 = [368; (5, 1, 3, 45, 1, 3, 5, 1, 1, 183, 1, 1, 5, 3, 1, 45, 3, 1, 5, 736)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand five hundred fifty-two
Ordinal
135552nd
Binary
100001000110000000
Octal
410600
Hexadecimal
0x21180
Base64
AhGA
One's complement
4,294,831,743 (32-bit)
Scientific notation
1.35552 × 10⁵
As a duration
135,552 s = 1 day, 13 hours, 39 minutes, 12 seconds
In other bases
ternary (3) 20212221110
quaternary (4) 201012000
quinary (5) 13314202
senary (6) 2523320
septenary (7) 1103124
nonary (9) 225843
undecimal (11) 9292a
duodecimal (12) 66540
tridecimal (13) 49911
tetradecimal (14) 37584
pentadecimal (15) 2a26c

As an angle

135,552° = 376 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεφνβʹ
Mayan (base 20)
𝋰·𝋲·𝋱·𝋬
Chinese
一十三萬五千五百五十二
Chinese (financial)
壹拾參萬伍仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٥٥٥٢ Devanagari १३५५५२ Bengali ১৩৫৫৫২ Tamil ௧௩௫௫௫௨ Thai ๑๓๕๕๕๒ Tibetan ༡༣༥༥༥༢ Khmer ១៣៥៥៥២ Lao ໑໓໕໕໕໒ Burmese ၁၃၅၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135552, here are decompositions:

  • 19 + 135533 = 135552
  • 41 + 135511 = 135552
  • 73 + 135479 = 135552
  • 83 + 135469 = 135552
  • 89 + 135463 = 135552
  • 103 + 135449 = 135552
  • 149 + 135403 = 135552
  • 163 + 135389 = 135552

Showing the first eight; more decompositions exist.

Unicode codepoint
𡆀
CJK Unified Ideograph-21180
U+21180
Other letter (Lo)

UTF-8 encoding: F0 A1 86 80 (4 bytes).

Hex color
#021180
RGB(2, 17, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.128.

Address
0.2.17.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.128

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 135,552 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 135552 first appears in π at position 916,273 of the decimal expansion (the 916,273ordinal-suffix:rd 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°.