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116257032 = 233579757
BaseRepresentation
bin1101110110111…
…11000100001000
322002202110200000
412323133010020
5214230211112
615311443000
72611111533
oct673370410
9262673600
10116257032
115a6956a1
1232b26460
131b116358
1411623a1a
15a3167dc
hex6edf108

116257032 has 96 divisors (see below), whose sum is σ = 331094400. Its totient is φ = 38211264.

The previous prime is 116257003. The next prime is 116257039. The reversal of 116257032 is 230752611.

It is a happy number.

116257032 is a `hidden beast` number, since 1 + 1 + 62 + 570 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116256987 and 116257005.

It is not an unprimeable number, because it can be changed into a prime (116257039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153198 + ... + 153954.

It is an arithmetic number, because the mean of its divisors is an integer number (3448900).

Almost surely, 2116257032 is an apocalyptic number.

116257032 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 116257032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165547200).

116257032 is an abundant number, since it is smaller than the sum of its proper divisors (214837368).

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

116257032 is an equidigital number, since it uses as much as digits as its factorization.

116257032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116257032 is about 10782.2554226841. The cubic root of 116257032 is about 488.0598444032.

The spelling of 116257032 in words is "one hundred sixteen million, two hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 243 316 324 474 486 632 648 711 757 948 972 1422 1514 1896 1944 2133 2271 2844 3028 4266 4542 5688 6056 6399 6813 8532 9084 12798 13626 17064 18168 19197 20439 25596 27252 38394 40878 51192 54504 59803 61317 76788 81756 119606 122634 153576 163512 179409 183951 239212 245268 358818 367902 478424 490536 538227 717636 735804 1076454 1435272 1471608 1614681 2152908 3229362 4305816 4844043 6458724 9688086 12917448 14532129 19376172 29064258 38752344 58128516 116257032