138,264
138,264 is a composite number, even.
138,264 (one hundred thirty-eight thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 823. Its proper divisors sum to 257,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C18.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,152
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 462,831
- Recamán's sequence
- a(492,299) = 138,264
- Square (n²)
- 19,116,933,696
- Cube (n³)
- 2,643,183,720,543,744
- Divisor count
- 32
- σ(n) — sum of divisors
- 395,520
- φ(n) — Euler's totient
- 39,456
- Sum of prime factors
- 839
Primality
Prime factorization: 2 3 × 3 × 7 × 823
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,264 = [371; (1, 5, 5, 29, 1, 1, 4, 5, 1, 12, 4, 1, 4, 2, 1, 1, 15, 4, 2, 1, 36, 2, 30, 2, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand two hundred sixty-four
- Ordinal
- 138264th
- Binary
- 100001110000011000
- Octal
- 416030
- Hexadecimal
- 0x21C18
- Base64
- AhwY
- One's complement
- 4,294,829,031 (32-bit)
- Scientific notation
- 1.38264 × 10⁵
- As a duration
- 138,264 s = 1 day, 14 hours, 24 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλησξδʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋭·𝋤
- Chinese
- 一十三萬八千二百六十四
- Chinese (financial)
- 壹拾參萬捌仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138264, here are decompositions:
- 13 + 138251 = 138264
- 17 + 138247 = 138264
- 23 + 138241 = 138264
- 67 + 138197 = 138264
- 73 + 138191 = 138264
- 83 + 138181 = 138264
- 101 + 138163 = 138264
- 107 + 138157 = 138264
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B0 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.24.
- Address
- 0.2.28.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.24
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 138,264 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°.