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116406252 = 223210213167
BaseRepresentation
bin1101111000000…
…11011111101100
322010001001100200
412330003133230
5214300000002
615314553500
72612302554
oct674033754
9263031320
10116406252
115a787816
1232b98890
131b169251
1411662164
15a345b1c
hex6f037ec

116406252 has 36 divisors (see below), whose sum is σ = 294630336. Its totient is φ = 38751840.

The previous prime is 116406247. The next prime is 116406307. The reversal of 116406252 is 252604611.

116406252 is a `hidden beast` number, since 1 + 1 + 6 + 406 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 35173 + ... + 38339.

It is an arithmetic number, because the mean of its divisors is an integer number (8184176).

Almost surely, 2116406252 is an apocalyptic number.

116406252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116406252 is an abundant number, since it is smaller than the sum of its proper divisors (178224084).

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

116406252 is a wasteful number, since it uses less digits than its factorization.

116406252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 116406252 is about 10789.1729062056. The cubic root of 116406252 is about 488.2685691335.

The spelling of 116406252 in words is "one hundred sixteen million, four hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1021 2042 3063 3167 4084 6126 6334 9189 9501 12252 12668 18378 19002 28503 36756 38004 57006 114012 3233507 6467014 9700521 12934028 19401042 29101563 38802084 58203126 116406252