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117376 = 277131
BaseRepresentation
bin11100101010000000
312222000021
4130222000
512224001
62303224
7666130
oct345200
9188007
10117376
1180206
1257b14
134156c
1430ac0
1524ba1
hex1ca80

117376 has 32 divisors (see below), whose sum is σ = 269280. Its totient is φ = 49920.

The previous prime is 117373. The next prime is 117389. The reversal of 117376 is 673711.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 117376.

It is not an unprimeable number, because it can be changed into a prime (117371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 831 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2117376 is an apocalyptic number.

117376 is a gapful number since it is divisible by the number (16) 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 117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640).

117376 is an abundant number, since it is smaller than the sum of its proper divisors (151904).

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

117376 is an equidigital number, since it uses as much as digits as its factorization.

117376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 117376 is about 342.6018096858. The cubic root of 117376 is about 48.9620697717.

The spelling of 117376 in words is "one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 448 524 896 917 1048 1834 2096 3668 4192 7336 8384 14672 16768 29344 58688 117376