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116659296 = 25321331159
BaseRepresentation
bin1101111010000…
…01010001100000
322010111220110200
412331001101200
5214331044141
615324225200
72614405365
oct675012140
9263456420
10116659296
115a93a946
123309b200
131b227490
14116ca46c
15a395ab6
hex6f41460

116659296 has 72 divisors (see below), whose sum is σ = 357280560. Its totient is φ = 35894016.

The previous prime is 116659271. The next prime is 116659303. The reversal of 116659296 is 692956611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11836 + ... + 19323.

It is an arithmetic number, because the mean of its divisors is an integer number (4962230).

Almost surely, 2116659296 is an apocalyptic number.

116659296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116659296 is an abundant number, since it is smaller than the sum of its proper divisors (240621264).

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

116659296 is a wasteful number, since it uses less digits than its factorization.

116659296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31188 (or 31177 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 116659296 is about 10800.8932963899. The cubic root of 116659296 is about 488.6221126097.

The spelling of 116659296 in words is "one hundred sixteen million, six hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 31159 62318 93477 124636 186954 249272 280431 373908 405067 498544 560862 747816 810134 997088 1121724 1215201 1495632 1620268 2243448 2430402 2991264 3240536 3645603 4486896 4860804 6481072 7291206 8973792 9721608 12962144 14582412 19443216 29164824 38886432 58329648 116659296