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117733024 = 2517216421
BaseRepresentation
bin1110000010001…
…11011010100000
322012112110100101
413001013122200
5220114424044
615403232144
72626466653
oct701073240
9265473311
10117733024
1160503622
1233518654
131b512116
14118c989a
15a508cd4
hex70476a0

117733024 has 24 divisors (see below), whose sum is σ = 245422548. Its totient is φ = 55403520.

The previous prime is 117733019. The next prime is 117733043. The reversal of 117733024 is 420337711.

It can be written as a sum of positive squares in 2 ways, for example, as 89643024 + 28090000 = 9468^2 + 5300^2 .

It is a super-2 number, since 2×1177330242 = 27722129880369152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117732983 and 117733001.

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 3 ways as a sum of consecutive naturals, for example, 107667 + ... + 108754.

Almost surely, 2117733024 is an apocalyptic number.

It is an amenable number.

117733024 is an abundant number, since it is smaller than the sum of its proper divisors (127689524).

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

117733024 is a wasteful number, since it uses less digits than its factorization.

117733024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216448 (or 216440 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 117733024 is about 10850.4849661202. The cubic root of 117733024 is about 490.1166236358.

The spelling of 117733024 in words is "one hundred seventeen million, seven hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 216421 432842 865684 1731368 3462736 3679157 6925472 7358314 14716628 29433256 58866512 117733024