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113976 = 23321583
BaseRepresentation
bin11011110100111000
312210100100
4123310320
512121401
62235400
7653202
oct336470
9183310
10113976
11786a5
1255b60
133cb55
142d772
1523b86
hex1bd38

113976 has 24 divisors (see below), whose sum is σ = 308880. Its totient is φ = 37968.

The previous prime is 113969. The next prime is 113983. The reversal of 113976 is 679311.

It is an interprime number because it is at equal distance from previous prime (113969) and next prime (113983).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

113976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2113976 is an apocalyptic number.

It is an amenable number.

113976 is an abundant number, since it is smaller than the sum of its proper divisors (194904).

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

113976 is a wasteful number, since it uses less digits than its factorization.

113976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 113976 is about 337.6033175192. The cubic root of 113976 is about 48.4846729476.

Adding to 113976 its sum of digits (27), we get a triangular number (114003 = T477).

It can be divided in two parts, 113 and 976, that added together give a square (1089 = 332).

The spelling of 113976 in words is "one hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1583 3166 4749 6332 9498 12664 14247 18996 28494 37992 56988 113976