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113696496 = 24321276217
BaseRepresentation
bin1101100011011…
…01111011110000
321220221101021100
412301231323300
5213101241441
615140524400
72550255444
oct661557360
9256841240
10113696496
11591a6951
12320b0700
131a72aa44
1411158824
159eaccb6
hex6c6def0

113696496 has 60 divisors (see below), whose sum is σ = 320749312. Its totient is φ = 37594368.

The previous prime is 113696491. The next prime is 113696503. The reversal of 113696496 is 694696311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113696491) 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, 15180 + ... + 21396.

Almost surely, 2113696496 is an apocalyptic number.

113696496 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 113696496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160374656).

113696496 is an abundant number, since it is smaller than the sum of its proper divisors (207052816).

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

113696496 is a wasteful number, since it uses less digits than its factorization.

113696496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6349 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 113696496 is about 10662.8559026182. The cubic root of 113696496 is about 484.4500742518.

The spelling of 113696496 in words is "one hundred thirteen million, six hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 6217 9144 12434 18288 18651 24868 37302 49736 55953 74604 99472 111906 149208 223812 298416 447624 789559 895248 1579118 2368677 3158236 4737354 6316472 7106031 9474708 12632944 14212062 18949416 28424124 37898832 56848248 113696496