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135,700

135,700 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.).

135,700 (one hundred thirty-five thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 23 × 59. Its proper divisors sum to 176,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21214.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
7,531
Square (n²)
18,414,490,000
Cube (n³)
2,498,846,293,000,000
Divisor count
36
σ(n) — sum of divisors
312,480
φ(n) — Euler's totient
51,040
Sum of prime factors
96

Primality

Prime factorization: 2 2 × 5 2 × 23 × 59

Nearest primes: 135,697 (−3) · 135,701 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 20 · 23 · 25 · 46 · 50 · 59 · 92 · 100 · 115 · 118 · 230 · 236 · 295 · 460 · 575 · 590 · 1150 · 1180 · 1357 · 1475 · 2300 · 2714 · 2950 · 5428 · 5900 · 6785 · 13570 · 27140 · 33925 · 67850 (half) · 135700
Aliquot sum (sum of proper divisors): 176,780
Factor pairs (a × b = 135,700)
1 × 135700
2 × 67850
4 × 33925
5 × 27140
10 × 13570
20 × 6785
23 × 5900
25 × 5428
46 × 2950
50 × 2714
59 × 2300
92 × 1475
100 × 1357
115 × 1180
118 × 1150
230 × 590
236 × 575
295 × 460
First multiples
135,700 · 271,400 (double) · 407,100 · 542,800 · 678,500 · 814,200 · 949,900 · 1,085,600 · 1,221,300 · 1,357,000

Sums & aliquot sequence

As consecutive integers: 27,138 + 27,139 + 27,140 + 27,141 + 27,142 16,959 + 16,960 + … + 16,966 5,889 + 5,890 + … + 5,911 5,416 + 5,417 + … + 5,440
Aliquot sequence: 135,700 176,780 194,500 231,380 276,652 207,496 192,644 164,440 205,640 270,640 398,960 528,808 702,392 684,208 878,192 1,066,624 1,225,316 — unresolved within range

Continued fraction of √n

√135,700 = [368; (2, 1, 2, 81, 2, 17, 2, 8, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 8, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred
Ordinal
135700th
Binary
100001001000010100
Octal
411024
Hexadecimal
0x21214
Base64
AhIU
One's complement
4,294,831,595 (32-bit)
Scientific notation
1.357 × 10⁵
As a duration
135,700 s = 1 day, 13 hours, 41 minutes, 40 seconds
In other bases
ternary (3) 20220010221
quaternary (4) 201020110
quinary (5) 13320300
senary (6) 2524124
septenary (7) 1103425
nonary (9) 226127
undecimal (11) 92a54
duodecimal (12) 66644
tridecimal (13) 499c6
tetradecimal (14) 3764c
pentadecimal (15) 2a31a

As an angle

135,700° = 376 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλεψʹ
Mayan (base 20)
𝋰·𝋳·𝋥·𝋠
Chinese
一十三萬五千七百
Chinese (financial)
壹拾參萬伍仟柒佰
In other modern scripts
Eastern Arabic ١٣٥٧٠٠ Devanagari १३५७०० Bengali ১৩৫৭০০ Tamil ௧௩௫௭௦௦ Thai ๑๓๕๗๐๐ Tibetan ༡༣༥༧༠༠ Khmer ១៣៥៧០០ Lao ໑໓໕໗໐໐ Burmese ၁၃၅၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135700, here are decompositions:

  • 3 + 135697 = 135700
  • 29 + 135671 = 135700
  • 53 + 135647 = 135700
  • 83 + 135617 = 135700
  • 101 + 135599 = 135700
  • 107 + 135593 = 135700
  • 167 + 135533 = 135700
  • 233 + 135467 = 135700

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈔
CJK Unified Ideograph-21214
U+21214
Other letter (Lo)

UTF-8 encoding: F0 A1 88 94 (4 bytes).

Hex color
#021214
RGB(2, 18, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.20.

Address
0.2.18.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.20

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 135,700 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 135700 first appears in π at position 333,374 of the decimal expansion (the 333,374ordinal-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