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113696 = 25111719
BaseRepresentation
bin11011110000100000
312202221222
4123300200
512114241
62234212
7652322
oct336040
9182858
10113696
1178470
1255968
133c99b
142d612
1523a4b
hex1bc20

113696 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 46080.

The previous prime is 113683. The next prime is 113717. The reversal of 113696 is 696311.

Multipling 113696 by its sum of digits (26), we get a triangular number (2956096 = T2431).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113696.

It is an unprimeable number.

113696 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 5975 + ... + 5993.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2113696 is an apocalyptic number.

113696 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 113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

113696 is an abundant number, since it is smaller than the sum of its proper divisors (158464).

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

113696 is a wasteful number, since it uses less digits than its factorization.

113696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 113696 is about 337.1883746513. The cubic root of 113696 is about 48.4449369781. Note that the first 3 decimals are identical.

The spelling of 113696 in words is "one hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 5984 6688 7106 10336 14212 28424 56848 113696