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117697824 = 25323113183
BaseRepresentation
bin1110000001111…
…10110100100000
322012110200001200
413000332310200
5220112312244
615402401200
72626262226
oct700766440
9265420050
10117697824
116048a132
1233500200
131b4cc0aa
14118bab16
15a4ed669
hex703ed20

117697824 has 72 divisors (see below), whose sum is σ = 345526272. Its totient is φ = 37964160.

The previous prime is 117697819. The next prime is 117697843. The reversal of 117697824 is 428796711.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117697824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2337 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (4798976).

Almost surely, 2117697824 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 117697824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172763136).

117697824 is an abundant number, since it is smaller than the sum of its proper divisors (227828448).

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

117697824 is a wasteful number, since it uses less digits than its factorization.

117697824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13230 (or 13219 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 117697824 is about 10848.8627975470. The cubic root of 117697824 is about 490.0677734938.

The spelling of 117697824 in words is "one hundred seventeen million, six hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 13183 26366 39549 52732 79098 105464 118647 158196 210928 237294 316392 408673 421856 474588 632784 817346 949176 1226019 1265568 1634692 1898352 2452038 3269384 3678057 3796704 4904076 6538768 7356114 9808152 13077536 14712228 19616304 29424456 39232608 58848912 117697824