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113960304 = 24331511747
BaseRepresentation
bin1101100101011…
…10010101110000
321221102210011000
412302232111300
5213133212204
615150322000
72552434533
oct662562560
9257383130
10113960304
1159367077
12321b9300
131a7c0b43
14111c6a1a
15a011039
hex6cae570

113960304 has 80 divisors (see below), whose sum is σ = 329463040. Its totient is φ = 37713600.

The previous prime is 113960303. The next prime is 113960369. The reversal of 113960304 is 403069311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113960303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64359 + ... + 66105.

It is an arithmetic number, because the mean of its divisors is an integer number (4118288).

Almost surely, 2113960304 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 113960304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164731520).

113960304 is an abundant number, since it is smaller than the sum of its proper divisors (215502736).

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

113960304 is a wasteful number, since it uses less digits than its factorization.

113960304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113960304 is about 10675.2191546591. The cubic root of 113960304 is about 484.8244718556.

The spelling of 113960304 in words is "one hundred thirteen million, nine hundred sixty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1208 1359 1747 1812 2416 2718 3494 3624 4077 5241 5436 6988 7248 8154 10482 10872 13976 15723 16308 20964 21744 27952 31446 32616 41928 47169 62892 65232 83856 94338 125784 188676 251568 263797 377352 527594 754704 791391 1055188 1582782 2110376 2374173 3165564 4220752 4748346 6331128 7122519 9496692 12662256 14245038 18993384 28490076 37986768 56980152 113960304