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116645256 = 233271319937
BaseRepresentation
bin1101111001111…
…01110110001000
322010111012012200
412330331312020
5214330122011
615324040200
72614316430
oct674756610
9263435180
10116645256
115a930342
1233093060
131b220c80
14116c52c0
15a391856
hex6f3dd88

116645256 has 192 divisors, whose sum is σ = 409718400. Its totient is φ = 29113344.

The previous prime is 116645251. The next prime is 116645257. The reversal of 116645256 is 652546611.

116645256 is a `hidden beast` number, since 1 + 1 + 6 + 645 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×1166452562 = 27212231494611072, which contains 22 as substring.

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 116645256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116645251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124020 + ... + 124956.

It is an arithmetic number, because the mean of its divisors is an integer number (2133950).

Almost surely, 2116645256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116645256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204859200).

116645256 is an abundant number, since it is smaller than the sum of its proper divisors (293073144).

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

116645256 is a wasteful number, since it uses less digits than its factorization.

116645256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 116645256 is about 10800.2433305921. The cubic root of 116645256 is about 488.6025098578.

The spelling of 116645256 in words is "one hundred sixteen million, six hundred forty-five thousand, two hundred fifty-six".