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117392 = 24112329
BaseRepresentation
bin11100101010010000
312222000212
4130222100
512224032
62303252
7666152
oct345220
9188025
10117392
1180220
1257b28
1341582
1430ad2
1524bb2
hex1ca90

117392 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 49280.

The previous prime is 117389. The next prime is 117413. The reversal of 117392 is 293711.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 7 ways as a sum of consecutive naturals, for example, 4034 + ... + 4062.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2117392 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 117392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

117392 is an abundant number, since it is smaller than the sum of its proper divisors (150448).

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

117392 is a wasteful number, since it uses less digits than its factorization.

117392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 117392 is about 342.6251596132. The cubic root of 117392 is about 48.9642944102.

The spelling of 117392 in words is "one hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 58 88 92 116 176 184 232 253 319 368 464 506 638 667 1012 1276 1334 2024 2552 2668 4048 5104 5336 7337 10672 14674 29348 58696 117392