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113975296 = 21313913
BaseRepresentation
bin1101100101100…
…10000000000000
321221110112201021
412302302000000
5213134202141
615150515224
72552526331
oct662620000
9257415637
10113975296
1159377366
1232205b14
131a7c7906
14111cc288
15a0156d1
hex6cb2000

113975296 has 28 divisors (see below), whose sum is σ = 227953062. Its totient is φ = 56983552.

The previous prime is 113975263. The next prime is 113975297. The reversal of 113975296 is 692579311.

It can be written as a sum of positive squares in only one way, i.e., 90935296 + 23040000 = 9536^2 + 4800^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (113975297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1236 + ... + 15148.

Almost surely, 2113975296 is an apocalyptic number.

113975296 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 113975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113976531).

113975296 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

113975296 is an frugal number, since it uses more digits than its factorization.

113975296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13939 (or 13915 counting only the distinct ones).

The product of its digits is 102060, while the sum is 43.

The square root of 113975296 is about 10675.9213185561. The cubic root of 113975296 is about 484.8457312167.

The spelling of 113975296 in words is "one hundred thirteen million, nine hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 13913 27826 55652 111304 222608 445216 890432 1780864 3561728 7123456 14246912 28493824 56987648 113975296