138,200
138,200 is a composite number, even.
138,200 (one hundred thirty-eight thousand two hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 691. Its proper divisors sum to 183,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BD8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 2,831
- Recamán's sequence
- a(492,427) = 138,200
- Square (n²)
- 19,099,240,000
- Cube (n³)
- 2,639,514,968,000,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 321,780
- φ(n) — Euler's totient
- 55,200
- Sum of prime factors
- 707
Primality
Prime factorization: 2 3 × 5 2 × 691
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,200 = [371; (1, 3, 23, 1, 2, 1, 3, 6, 1, 7, 2, 29, 3, 1, 2, 2, 1, 3, 1, 2, 3, 2, 1, 3, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand two hundred
- Ordinal
- 138200th
- Binary
- 100001101111011000
- Octal
- 415730
- Hexadecimal
- 0x21BD8
- Base64
- AhvY
- One's complement
- 4,294,829,095 (32-bit)
- Scientific notation
- 1.382 × 10⁵
- As a duration
- 138,200 s = 1 day, 14 hours, 23 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ρλησʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋪·𝋠
- Chinese
- 一十三萬八千二百
- Chinese (financial)
- 壹拾參萬捌仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138200, here are decompositions:
- 3 + 138197 = 138200
- 19 + 138181 = 138200
- 37 + 138163 = 138200
- 43 + 138157 = 138200
- 61 + 138139 = 138200
- 193 + 138007 = 138200
- 331 + 137869 = 138200
- 373 + 137827 = 138200
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AF 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.216.
- Address
- 0.2.27.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.216
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 138,200 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 138200 first appears in π at position 624,185 of the decimal expansion (the 624,185ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.