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116528976 = 24331914197
BaseRepresentation
bin1101111001000…
…01011101010000
322010021021201000
412330201131100
5214312411401
615321342000
72613323424
oct674413520
9263237630
10116528976
115a860a43
1233037900
131b1b0075
1411694b84
15a36c186
hex6f21750

116528976 has 80 divisors (see below), whose sum is σ = 352110400. Its totient is φ = 36796032.

The previous prime is 116528941. The next prime is 116528981. The reversal of 116528976 is 679825611.

116528976 is a `hidden beast` number, since 116 + 528 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110 + ... + 15306.

It is an arithmetic number, because the mean of its divisors is an integer number (4401380).

Almost surely, 2116528976 is an apocalyptic number.

116528976 is a gapful number since it is divisible by the number (16) 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 116528976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176055200).

116528976 is an abundant number, since it is smaller than the sum of its proper divisors (235581424).

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

116528976 is a wasteful number, since it uses less digits than its factorization.

116528976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233 (or 14221 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 116528976 is about 10794.8587762879. The cubic root of 116528976 is about 488.4400983685.

The spelling of 116528976 in words is "one hundred sixteen million, five hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 14197 28394 42591 56788 85182 113576 127773 170364 227152 255546 269743 340728 383319 511092 539486 681456 766638 809229 1022184 1078972 1533276 1618458 2044368 2157944 2427687 3066552 3236916 4315888 4855374 6133104 6473832 7283061 9710748 12947664 14566122 19421496 29132244 38842992 58264488 116528976