138,528
138,528 is a composite number, even.
138,528 (one hundred thirty-eight thousand five hundred twenty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 13 × 37. Its proper divisors sum to 297,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,920
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 825,831
- Recamán's sequence
- a(491,771) = 138,528
- Square (n²)
- 19,190,006,784
- Cube (n³)
- 2,658,353,259,773,952
- Divisor count
- 72
- σ(n) — sum of divisors
- 435,708
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 66
Primality
Prime factorization: 2 5 × 3 2 × 13 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,528 = [372; (5, 5, 1, 19, 1, 5, 5, 744)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand five hundred twenty-eight
- Ordinal
- 138528th
- Binary
- 100001110100100000
- Octal
- 416440
- Hexadecimal
- 0x21D20
- Base64
- Ah0g
- One's complement
- 4,294,828,767 (32-bit)
- Scientific notation
- 1.38528 × 10⁵
- As a duration
- 138,528 s = 1 day, 14 hours, 28 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληφκηʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋦·𝋨
- Chinese
- 一十三萬八千五百二十八
- Chinese (financial)
- 壹拾參萬捌仟伍佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138528, here are decompositions:
- 11 + 138517 = 138528
- 17 + 138511 = 138528
- 31 + 138497 = 138528
- 59 + 138469 = 138528
- 67 + 138461 = 138528
- 79 + 138449 = 138528
- 101 + 138427 = 138528
- 127 + 138401 = 138528
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B4 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.32.
- Address
- 0.2.29.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.32
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 138,528 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 138528 first appears in π at position 148,197 of the decimal expansion (the 148,197ordinal-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°.