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116785104 = 24317167857
BaseRepresentation
bin1101111010111…
…11111111010000
322010202022001020
412331133333100
5214344110404
615331035440
72615441232
oct675377720
9263668036
10116785104
115aa16417
123313bb80
131b26c817
1411720252
15a3bced9
hex6f5ffd0

116785104 has 80 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 36376576.

The previous prime is 116785079. The next prime is 116785111. The reversal of 116785104 is 401587611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135844 + ... + 136700.

Almost surely, 2116785104 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 116785104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

116785104 is an abundant number, since it is smaller than the sum of its proper divisors (204944304).

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

116785104 is a wasteful number, since it uses less digits than its factorization.

116785104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 116785104 is about 10806.7156897922. The cubic root of 116785104 is about 488.7976965202.

The spelling of 116785104 in words is "one hundred sixteen million, seven hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 334 408 501 668 816 857 1002 1336 1714 2004 2571 2672 2839 3428 4008 5142 5678 6856 8016 8517 10284 11356 13712 14569 17034 20568 22712 29138 34068 41136 43707 45424 58276 68136 87414 116552 136272 143119 174828 233104 286238 349656 429357 572476 699312 858714 1144952 1717428 2289904 2433023 3434856 4866046 6869712 7299069 9732092 14598138 19464184 29196276 38928368 58392552 116785104