Base | Representation |
---|---|
bin | 1111101110011… |
… | …00010001011100 |
3 | 100012012122201102 |
4 | 13313030101130 |
5 | 232232034300 |
6 | 21031132232 |
7 | 3161130320 |
oct | 767142134 |
9 | 305178642 |
10 | 131908700 |
11 | 68505a60 |
12 | 38214078 |
13 | 214364b1 |
14 | 13739980 |
15 | b8a90d5 |
hex | 7dcc45c |
131908700 has 144 divisors (see below), whose sum is σ = 367309824. Its totient is φ = 39916800.
The previous prime is 131908691. The next prime is 131908753. The reversal of 131908700 is 7809131.
131908700 = T1 + T2 + ... + T924.
131908700 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
131908700 is a nontrivial binomial coefficient, being equal to C(926, 3).
131908700 is strictly pandigital in base 9.
It is a congruent number.
It is an unprimeable number.
It is the 924-th tetrahedral number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284669 + ... + 285131.
Almost surely, 2131908700 is an apocalyptic number.
131908700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131908700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183654912).
131908700 is an abundant number, since it is smaller than the sum of its proper divisors (235401124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131908700 is a wasteful number, since it uses less digits than its factorization.
131908700 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 532 (or 525 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 29.
The square root of 131908700 is about 11485.1512832875. The cubic root of 131908700 is about 509.0469192239.
The spelling of 131908700 in words is "one hundred thirty-one million, nine hundred eight thousand, seven hundred".
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