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116932824 = 233243179211
BaseRepresentation
bin1101111100001…
…00000011011000
322011000210200100
412332010003120
5214413322244
615334135400
72616625011
oct676040330
9264023610
10116932824
11600073a8
12331b1560
131b2c1b28
141175c008
15a3ebb69
hex6f840d8

116932824 has 96 divisors (see below), whose sum is σ = 327412800. Its totient is φ = 37679040.

The previous prime is 116932819. The next prime is 116932841. The reversal of 116932824 is 428239611.

It is a super-2 number, since 2×1169328242 = 27346570657229952, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 554079 + ... + 554289.

It is an arithmetic number, because the mean of its divisors is an integer number (3410550).

Almost surely, 2116932824 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 116932824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163706400).

116932824 is an abundant number, since it is smaller than the sum of its proper divisors (210479976).

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

116932824 is a wasteful number, since it uses less digits than its factorization.

116932824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 116932824 is about 10813.5481688482. The cubic root of 116932824 is about 489.0037010271.

The spelling of 116932824 in words is "one hundred sixteen million, nine hundred thirty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 179 211 258 344 358 387 422 516 537 633 716 774 844 1032 1074 1266 1432 1548 1611 1688 1899 2148 2532 3096 3222 3798 4296 5064 6444 7596 7697 9073 12888 15192 15394 18146 23091 27219 30788 36292 37769 46182 54438 61576 69273 72584 75538 81657 92364 108876 113307 138546 151076 163314 184728 217752 226614 277092 302152 326628 339921 453228 554184 653256 679842 906456 1359684 1624067 2719368 3248134 4872201 6496268 9744402 12992536 14616603 19488804 29233206 38977608 58466412 116932824