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113347136 = 2671132239
BaseRepresentation
bin1101100000110…
…00101001000000
321220021122001002
412300120221000
5213004102021
615125231132
72544302060
oct660305100
9256248032
10113347136
1158a88421
1231b624a8
131a637a16
14110a73a0
159e3e50b
hex6c18a40

113347136 has 56 divisors (see below), whose sum is σ = 259445760. Its totient is φ = 48125952.

The previous prime is 113347099. The next prime is 113347153. The reversal of 113347136 is 631743311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 113347099 and 113347108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49505 + ... + 51743.

It is an arithmetic number, because the mean of its divisors is an integer number (4632960).

Almost surely, 2113347136 is an apocalyptic number.

113347136 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 113347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

113347136 is an abundant number, since it is smaller than the sum of its proper divisors (146098624).

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

113347136 is a wasteful number, since it uses less digits than its factorization.

113347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 113347136 is about 10646.4611960970. The cubic root of 113347136 is about 483.9533684555.

The spelling of 113347136 in words is "one hundred thirteen million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 2239 3164 3616 4478 6328 7232 8956 12656 15673 17912 25312 31346 35824 50624 62692 71648 125384 143296 250768 253007 501536 506014 1003072 1012028 1771049 2024056 3542098 4048112 7084196 8096224 14168392 16192448 28336784 56673568 113347136