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113607168 = 293371999
BaseRepresentation
bin1101100010110…
…00001000000000
321220202211201220
412301120020000
5213040412133
615134555040
72546434143
oct661301000
9256684656
10113607168
1159145824
1232068a80
131a6c919c
141113405a
159e915b3
hex6c58200

113607168 has 80 divisors (see below), whose sum is σ = 310992000. Its totient is φ = 36827136.

The previous prime is 113607139. The next prime is 113607173. The reversal of 113607168 is 861706311.

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, 55833 + ... + 57831.

It is an arithmetic number, because the mean of its divisors is an integer number (3887400).

Almost surely, 2113607168 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 113607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155496000).

113607168 is an abundant number, since it is smaller than the sum of its proper divisors (197384832).

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

113607168 is an equidigital number, since it uses as much as digits as its factorization.

113607168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 113607168 is about 10658.6663330831. Note that the first 3 decimals coincide. The cubic root of 113607168 is about 484.3231682755.

It can be divided in two parts, 11360 and 7168, that added together give a triangular number (18528 = T192).

The spelling of 113607168 in words is "one hundred thirteen million, six hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 1999 2368 3552 3998 4736 5997 7104 7996 9472 11994 14208 15992 18944 23988 28416 31984 47976 56832 63968 73963 95952 127936 147926 191904 221889 255872 295852 383808 443778 511744 591704 767616 887556 1023488 1183408 1535232 1775112 2366816 3070464 3550224 4733632 7100448 9467264 14200896 18934528 28401792 37869056 56803584 113607168