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116643528 = 233217233409
BaseRepresentation
bin1101111001111…
…01011011001000
322010111002211200
412330331123020
5214330043103
615324024200
72614311411
oct674753310
9263432750
10116643528
115a92a011
1233092060
131b220251
14116c4808
15a3910a3
hex6f3d6c8

116643528 has 96 divisors (see below), whose sum is σ = 336749400. Its totient is φ = 36347904.

The previous prime is 116643517. The next prime is 116643533. The reversal of 116643528 is 825346611.

It is a happy number.

116643528 is a `hidden beast` number, since 1 + 1 + 6 + 643 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113678244 + 2965284 = 10662^2 + 1722^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 116643492 and 116643501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284988 + ... + 285396.

Almost surely, 2116643528 is an apocalyptic number.

116643528 is a gapful number since it is divisible by the number (18) 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 116643528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168374700).

116643528 is an abundant number, since it is smaller than the sum of its proper divisors (220105872).

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

116643528 is a wasteful number, since it uses less digits than its factorization.

116643528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 664 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116643528 is about 10800.1633320983. The cubic root of 116643528 is about 488.6000971027.

The spelling of 116643528 in words is "one hundred sixteen million, six hundred forty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 233 306 408 409 466 612 699 818 932 1224 1227 1398 1636 1864 2097 2454 2796 3272 3681 3961 4194 4908 5592 6953 7362 7922 8388 9816 11883 13906 14724 15844 16776 20859 23766 27812 29448 31688 35649 41718 47532 55624 62577 71298 83436 95064 95297 125154 142596 166872 190594 250308 285192 285891 381188 500616 571782 762376 857673 1143564 1620049 1715346 2287128 3240098 3430692 4860147 6480196 6861384 9720294 12960392 14580441 19440588 29160882 38881176 58321764 116643528