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136,048

136,048 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.).

136,048 (one hundred thirty-six thousand forty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 773. Its proper divisors sum to 151,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21370.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
840,631
Square (n²)
18,509,058,304
Cube (n³)
2,518,120,364,142,592
Divisor count
20
σ(n) — sum of divisors
287,928
φ(n) — Euler's totient
61,760
Sum of prime factors
792

Primality

Prime factorization: 2 4 × 11 × 773

Nearest primes: 136,043 (−5) · 136,057 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 773 · 1546 · 3092 · 6184 · 8503 · 12368 · 17006 · 34012 · 68024 (half) · 136048
Aliquot sum (sum of proper divisors): 151,880
Factor pairs (a × b = 136,048)
1 × 136048
2 × 68024
4 × 34012
8 × 17006
11 × 12368
16 × 8503
22 × 6184
44 × 3092
88 × 1546
176 × 773
First multiples
136,048 · 272,096 (double) · 408,144 · 544,192 · 680,240 · 816,288 · 952,336 · 1,088,384 · 1,224,432 · 1,360,480

Sums & aliquot sequence

As consecutive integers: 12,363 + 12,364 + … + 12,373 4,236 + 4,237 + … + 4,267 211 + 212 + … + 562
Aliquot sequence: 136,048 151,880 189,940 208,976 208,036 156,034 78,020 91,324 80,596 60,454 31,274 18,166 10,058 5,494 3,074 1,786 1,094 — unresolved within range

Continued fraction of √n

√136,048 = [368; (1, 5, 1, 1, 7, 1, 15, 1, 7, 1, 1, 5, 1, 736)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand forty-eight
Ordinal
136048th
Binary
100001001101110000
Octal
411560
Hexadecimal
0x21370
Base64
AhNw
One's complement
4,294,831,247 (32-bit)
Scientific notation
1.36048 × 10⁵
As a duration
136,048 s = 1 day, 13 hours, 47 minutes, 28 seconds
In other bases
ternary (3) 20220121211
quaternary (4) 201031300
quinary (5) 13323143
senary (6) 2525504
septenary (7) 1104433
nonary (9) 226554
undecimal (11) 93240
duodecimal (12) 66894
tridecimal (13) 49c03
tetradecimal (14) 3781a
pentadecimal (15) 2a49d

As an angle

136,048° = 377 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛμηʹ
Mayan (base 20)
𝋱·𝋠·𝋢·𝋨
Chinese
一十三萬六千零四十八
Chinese (financial)
壹拾參萬陸仟零肆拾捌
In other modern scripts
Eastern Arabic ١٣٦٠٤٨ Devanagari १३६०४८ Bengali ১৩৬০৪৮ Tamil ௧௩௬௦௪௮ Thai ๑๓๖๐๔๘ Tibetan ༡༣༦༠༤༨ Khmer ១៣៦០៤៨ Lao ໑໓໖໐໔໘ Burmese ၁၃၆၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136048, here are decompositions:

  • 5 + 136043 = 136048
  • 71 + 135977 = 136048
  • 137 + 135911 = 136048
  • 149 + 135899 = 136048
  • 197 + 135851 = 136048
  • 317 + 135731 = 136048
  • 347 + 135701 = 136048
  • 401 + 135647 = 136048

Showing the first eight; more decompositions exist.

Unicode codepoint
𡍰
CJK Unified Ideograph-21370
U+21370
Other letter (Lo)

UTF-8 encoding: F0 A1 8D B0 (4 bytes).

Hex color
#021370
RGB(2, 19, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.112.

Address
0.2.19.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.112

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 136,048 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 136048 first appears in π at position 191,914 of the decimal expansion (the 191,914ordinal-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