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113032192 = 2107131213
BaseRepresentation
bin1101011110010…
…11110000000000
321212200122000111
412233023300000
5212414012232
615114401104
72541520630
oct657136000
9255618014
10113032192
1158892839
1231a30194
131a557570
14110246c0
159dcb047
hex6bcbc00

113032192 has 88 divisors (see below), whose sum is σ = 278326496. Its totient is φ = 44679168.

The previous prime is 113032163. The next prime is 113032193. The reversal of 113032192 is 291230311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92578 + ... + 93790.

Almost surely, 2113032192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139163248).

113032192 is an abundant number, since it is smaller than the sum of its proper divisors (165294304).

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

113032192 is a wasteful number, since it uses less digits than its factorization.

113032192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 113032192 is about 10631.6598892177. The cubic root of 113032192 is about 483.5047183996.

The spelling of 113032192 in words is "one hundred thirteen million, thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1213 1456 1664 1792 2426 2912 3328 3584 4852 5824 6656 7168 8491 9704 11648 13312 15769 16982 19408 23296 31538 33964 38816 46592 63076 67928 77632 93184 110383 126152 135856 155264 220766 252304 271712 310528 441532 504608 543424 621056 883064 1009216 1086848 1242112 1766128 2018432 2173696 3532256 4036864 4347392 7064512 8073728 8694784 14129024 16147456 28258048 56516096 113032192