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116863032 = 2331113172003
BaseRepresentation
bin1101111011100…
…11000000111000
322010220020221110
412331303000320
5214404104112
615332440320
72616214356
oct675630070
9263806843
10116863032
115aa69a20
12331790a0
131b299130
14117407d6
15a3d613c
hex6f73038

116863032 has 128 divisors (see below), whose sum is σ = 363605760. Its totient is φ = 30750720.

The previous prime is 116863027. The next prime is 116863037. The reversal of 116863032 is 230368611.

It is an interprime number because it is at equal distance from previous prime (116863027) and next prime (116863037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116863037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57343 + ... + 59345.

It is an arithmetic number, because the mean of its divisors is an integer number (2840670).

Almost surely, 2116863032 is an apocalyptic number.

116863032 is a gapful number since it is divisible by the number (12) 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 116863032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181802880).

116863032 is an abundant number, since it is smaller than the sum of its proper divisors (246742728).

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

116863032 is a wasteful number, since it uses less digits than its factorization.

116863032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 116863032 is about 10810.3206242923. The cubic root of 116863032 is about 488.9063934810.

The spelling of 116863032 in words is "one hundred sixteen million, eight hundred sixty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2003 2244 2431 2652 3432 4006 4488 4862 5304 6009 7293 8012 9724 12018 14586 16024 19448 22033 24036 26039 29172 34051 44066 48072 52078 58344 66099 68102 78117 88132 102153 104156 132198 136204 156234 176264 204306 208312 264396 272408 286429 312468 374561 408612 442663 528792 572858 624936 749122 817224 859287 885326 1123683 1145716 1327989 1498244 1718574 1770652 2247366 2291432 2655978 2996488 3437148 3541304 4494732 4869293 5311956 6874296 8989464 9738586 10623912 14607879 19477172 29215758 38954344 58431516 116863032