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117432 = 23327233
BaseRepresentation
bin11100101010111000
312222002100
4130222320
512224212
62303400
7666240
oct345270
9188070
10117432
1180257
1257b60
13415b3
1430b20
1524bdc
hex1cab8

117432 has 48 divisors (see below), whose sum is σ = 365040. Its totient is φ = 33408.

The previous prime is 117431. The next prime is 117437. The reversal of 117432 is 234711.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2117432 is an apocalyptic number.

117432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182520).

117432 is an abundant number, since it is smaller than the sum of its proper divisors (247608).

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

117432 is a wasteful number, since it uses less digits than its factorization.

117432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 117432 is about 342.6835274710. The cubic root of 117432 is about 48.9698551224.

The spelling of 117432 in words is "one hundred seventeen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 233 252 466 504 699 932 1398 1631 1864 2097 2796 3262 4194 4893 5592 6524 8388 9786 13048 14679 16776 19572 29358 39144 58716 117432