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116106816 = 263786389
BaseRepresentation
bin1101110101110…
…10011001000000
322002110211121110
412322322121000
5214210404231
615304323320
72606614560
oct672723100
9262424543
10116106816
115a5a2851
1232a73540
131b092b77
14115c4da0
15a2d7046
hex6eba640

116106816 has 56 divisors (see below), whose sum is σ = 351088960. Its totient is φ = 33172992.

The previous prime is 116106773. The next prime is 116106857. The reversal of 116106816 is 618601611.

It is a happy number.

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

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 7 ways as a sum of consecutive naturals, for example, 41851 + ... + 44538.

Almost surely, 2116106816 is an apocalyptic number.

116106816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116106816 is an abundant number, since it is smaller than the sum of its proper divisors (234982144).

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

116106816 is an equidigital number, since it uses as much as digits as its factorization.

116106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86411 (or 86401 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 116106816 is about 10775.2872815531. The cubic root of 116106816 is about 487.8495460222.

The spelling of 116106816 in words is "one hundred sixteen million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 86389 172778 259167 345556 518334 604723 691112 1036668 1209446 1382224 1814169 2073336 2418892 2764448 3628338 4146672 4837784 5528896 7256676 8293344 9675568 14513352 16586688 19351136 29026704 38702272 58053408 116106816