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116249832 = 23324573533
BaseRepresentation
bin1101110110111…
…01010011101000
322002202002210100
412323131103220
5214224443312
615311345400
72611051536
oct673352350
9262662710
10116249832
115a690246
1232b22260
131b112caa
1411621156
15a3145dc
hex6edd4e8

116249832 has 48 divisors (see below), whose sum is σ = 315621540. Its totient is φ = 38654208.

The previous prime is 116249827. The next prime is 116249851. The reversal of 116249832 is 238942611.

116249832 is a `hidden beast` number, since 1 + 162 + 498 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 15729156 = 10026^2 + 3966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31138 + ... + 34670.

Almost surely, 2116249832 is an apocalyptic number.

116249832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116249832 is an abundant number, since it is smaller than the sum of its proper divisors (199371708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116249832 is a wasteful number, since it uses less digits than its factorization.

116249832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3995 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 116249832 is about 10781.9215356076. The cubic root of 116249832 is about 488.0497687305.

The spelling of 116249832 in words is "one hundred sixteen million, two hundred forty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 457 914 1371 1828 2742 3533 3656 4113 5484 7066 8226 10599 10968 14132 16452 21198 28264 31797 32904 42396 63594 84792 127188 254376 1614581 3229162 4843743 6458324 9687486 12916648 14531229 19374972 29062458 38749944 58124916 116249832