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116958016 = 267713677
BaseRepresentation
bin1101111100010…
…10001101000000
322011002002020101
412332022031000
5214420124031
615334452144
72620061320
oct676121500
9264062211
10116958016
116002431a
1233204054
131b300436
1411767280
15a404361
hex6f8a340

116958016 has 56 divisors (see below), whose sum is σ = 269053056. Its totient is φ = 49405440.

The previous prime is 116958007. The next prime is 116958019. The reversal of 116958016 is 610859611.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116958019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29970 + ... + 33646.

Almost surely, 2116958016 is an apocalyptic number.

116958016 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 116958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134526528).

116958016 is an abundant number, since it is smaller than the sum of its proper divisors (152095040).

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

116958016 is an equidigital number, since it uses as much as digits as its factorization.

116958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 116958016 is about 10814.7129411742. The cubic root of 116958016 is about 489.0388154807.

The spelling of 116958016 in words is "one hundred sixteen million, nine hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3677 3976 4544 7354 7952 14708 15904 25739 29416 31808 51478 58832 102956 117664 205912 235328 261067 411824 522134 823648 1044268 1647296 1827469 2088536 3654938 4177072 7309876 8354144 14619752 16708288 29239504 58479008 116958016