Base | Representation |
---|---|
bin | 1111101110001… |
… | …01010010100000 |
3 | 100012011012111000 |
4 | 13313011102200 |
5 | 232230130341 |
6 | 21030352000 |
7 | 3160651035 |
oct | 767052240 |
9 | 305135430 |
10 | 131880096 |
11 | 68496517 |
12 | 381bb600 |
13 | 2142647a |
14 | 1372d38c |
15 | b8a08b6 |
hex | 7dc54a0 |
131880096 has 48 divisors (see below), whose sum is σ = 384652800. Its totient is φ = 43959744.
The previous prime is 131880071. The next prime is 131880103. The reversal of 131880096 is 690088131.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 131880096.
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 7 ways as a sum of consecutive naturals, for example, 75456 + ... + 77183.
It is an arithmetic number, because the mean of its divisors is an integer number (8013600).
Almost surely, 2131880096 is an apocalyptic number.
131880096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
131880096 is an abundant number, since it is smaller than the sum of its proper divisors (252772704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131880096 is a wasteful number, since it uses less digits than its factorization.
131880096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152658 (or 152644 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 131880096 is about 11483.9059557278. The cubic root of 131880096 is about 509.0101214724.
The spelling of 131880096 in words is "one hundred thirty-one million, eight hundred eighty thousand, ninety-six".
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