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117975168 = 2732102409
BaseRepresentation
bin1110000100000…
…10100010000000
322012222202111200
413002002202000
5220200201133
615412341200
72631525633
oct702024200
9265882450
10117975168
1160659543
1233614800
131b5983bc
141194dc1a
15a555913
hex7082880

117975168 has 48 divisors (see below), whose sum is σ = 339489150. Its totient is φ = 39324672.

The previous prime is 117975139. The next prime is 117975197. The reversal of 117975168 is 861579711.

It is an interprime number because it is at equal distance from previous prime (117975139) and next prime (117975197).

It can be written as a sum of positive squares in only one way, i.e., 60093504 + 57881664 = 7752^2 + 7608^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50053 + ... + 52356.

Almost surely, 2117975168 is an apocalyptic number.

117975168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117975168 is an abundant number, since it is smaller than the sum of its proper divisors (221513982).

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

117975168 is a wasteful number, since it uses less digits than its factorization.

117975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102429 (or 102414 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 117975168 is about 10861.6374456156. The cubic root of 117975168 is about 490.4524046128.

The spelling of 117975168 in words is "one hundred seventeen million, nine hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 102409 204818 307227 409636 614454 819272 921681 1228908 1638544 1843362 2457816 3277088 3686724 4915632 6554176 7373448 9831264 13108352 14746896 19662528 29493792 39325056 58987584 117975168