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117832 = 231113103
BaseRepresentation
bin11100110001001000
312222122011
4130301020
512232312
62305304
71000351
oct346110
9188564
10117832
1180590
1258234
1341830
1430d28
1524da7
hex1cc48

117832 has 32 divisors (see below), whose sum is σ = 262080. Its totient is φ = 48960.

The previous prime is 117811. The next prime is 117833. The reversal of 117832 is 238711.

117832 divided by its sum of digits (22) gives a triangular number (5356 = T103).

It can be divided in two parts, 117 and 832, that multiplied together give a square (97344 = 3122).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (117833) by changing a digit.

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, 1093 + ... + 1195.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2117832 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 117832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

117832 is an abundant number, since it is smaller than the sum of its proper divisors (144248).

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

117832 is a wasteful number, since it uses less digits than its factorization.

117832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 117832 is about 343.2666601929. The cubic root of 117832 is about 49.0253929193.

The spelling of 117832 in words is "one hundred seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 206 286 412 572 824 1133 1144 1339 2266 2678 4532 5356 9064 10712 14729 29458 58916 117832