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116862976 = 212103277
BaseRepresentation
bin1101111011100…
…11000000000000
322010220020212101
412331303000000
5214404103401
615332440144
72616214246
oct675630000
9263806771
10116862976
115aa6997a
1233179054
131b2990b9
1411740796
15a3d6101
hex6f73000

116862976 has 52 divisors (see below), whose sum is σ = 236818192. Its totient is φ = 57655296.

The previous prime is 116862973. The next prime is 116862989. The reversal of 116862976 is 679268611.

It is not an unprimeable number, because it can be changed into a prime (116862971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421750 + ... + 422026.

It is an arithmetic number, because the mean of its divisors is an integer number (4554196).

Almost surely, 2116862976 is an apocalyptic number.

116862976 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 116862976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118409096).

116862976 is an abundant number, since it is smaller than the sum of its proper divisors (119955216).

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

116862976 is an equidigital number, since it uses as much as digits as its factorization.

116862976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 116862976 is about 10810.3180341746. The cubic root of 116862976 is about 488.9063153874.

The spelling of 116862976 in words is "one hundred sixteen million, eight hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 277 412 512 554 824 1024 1108 1648 2048 2216 3296 4096 4432 6592 8864 13184 17728 26368 28531 35456 52736 57062 70912 105472 114124 141824 210944 228248 283648 421888 456496 567296 912992 1134592 1825984 3651968 7303936 14607872 29215744 58431488 116862976