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117975375 = 3253771211
BaseRepresentation
bin1110000100000…
…10100101001111
322012222202210100
413002002211033
5220200203000
615412342143
72631526350
oct702024517
9265882710
10117975375
1160659711
1233614953
131b59851b
141194dd27
15a555a00
hex708294f

117975375 has 96 divisors (see below), whose sum is σ = 247643136. Its totient is φ = 52920000.

The previous prime is 117975353. The next prime is 117975391. The reversal of 117975375 is 573579711.

It is not a de Polignac number, because 117975375 - 25 = 117975343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117975375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559020 + ... + 559230.

It is an arithmetic number, because the mean of its divisors is an integer number (2579616).

Almost surely, 2117975375 is an apocalyptic number.

117975375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117975375 is an abundant number, since it is smaller than the sum of its proper divisors (129667761).

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

117975375 is a wasteful number, since it uses less digits than its factorization.

117975375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its digits is 231525, while the sum is 45.

The square root of 117975375 is about 10861.6469745615. The cubic root of 117975375 is about 490.4526914630.

The spelling of 117975375 in words is "one hundred seventeen million, nine hundred seventy-five thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 125 175 211 213 225 315 355 375 497 525 633 639 875 1055 1065 1125 1477 1491 1575 1775 1899 2485 2625 3165 3195 4431 4473 5275 5325 7385 7455 7875 8875 9495 12425 13293 14981 15825 15975 22155 22365 26375 26625 36925 37275 44943 47475 62125 66465 74905 79125 79875 104867 110775 111825 134829 184625 186375 224715 237375 314601 332325 374525 524335 553875 559125 674145 943803 1123575 1573005 1661625 1872625 2621675 3370725 4719015 5617875 7865025 13108375 16853625 23595075 39325125 117975375