Base | Representation |
---|---|
bin | 1110000011110… |
… | …01110110010000 |
3 | 22012220221201100 |
4 | 13001321312100 |
5 | 220143031400 |
6 | 15411504400 |
7 | 2631320142 |
oct | 701716620 |
9 | 265827640 |
10 | 117939600 |
11 | 60634849 |
12 | 335b8100 |
13 | 1b58515c |
14 | 11940c92 |
15 | a54a100 |
hex | 7079d90 |
117939600 has 135 divisors (see below), whose sum is σ = 411556899. Its totient is φ = 31276800.
The previous prime is 117939581. The next prime is 117939611. The reversal of 117939600 is 6939711.
The square root of 117939600 is 10860.
It is a perfect power (a square), and thus also a powerful number.
117939600 is a `hidden beast` number, since 1 + 17 + 9 + 39 + 600 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 54641664 = 7956^2 + 7392^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 651510 + ... + 651690.
Almost surely, 2117939600 is an apocalyptic number.
117939600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
117939600 is the 10860-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 117939600
117939600 is an abundant number, since it is smaller than the sum of its proper divisors (293617299).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117939600 is a wasteful number, since it uses less digits than its factorization.
117939600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 191 counting only the distinct ones).
The product of its (nonzero) digits is 10206, while the sum is 36.
The cubic root of 117939600 is about 490.4031112889.
Multiplying 117939600 by its sum of digits (36), we get a square (4245825600 = 651602).
117939600 divided by its sum of digits (36) gives a square (3276100 = 18102).
The spelling of 117939600 in words is "one hundred seventeen million, nine hundred thirty-nine thousand, six hundred".
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