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113449920 = 2635592003
BaseRepresentation
bin1101100001100…
…01101111000000
321220110212000220
412300301233000
5213020344140
615131343040
72545210533
oct660615700
9256425026
10113449920
1159048671
1231bb1a80
131a67273c
14110d2a1a
159e5ebd0
hex6c31bc0

113449920 has 112 divisors (see below), whose sum is σ = 366491520. Its totient is φ = 29725696.

The previous prime is 113449913. The next prime is 113449933. The reversal of 113449920 is 29944311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55639 + ... + 57641.

Almost surely, 2113449920 is an apocalyptic number.

113449920 is a gapful number since it is divisible by the number (10) 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 113449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183245760).

113449920 is an abundant number, since it is smaller than the sum of its proper divisors (253041600).

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

113449920 is a wasteful number, since it uses less digits than its factorization.

113449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 113449920 is about 10651.2872461501. The cubic root of 113449920 is about 484.0996083950.

The spelling of 113449920 in words is "one hundred thirteen million, four hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1770 1888 2003 2360 2832 3540 3776 4006 4720 5664 6009 7080 8012 9440 10015 11328 12018 14160 16024 18880 20030 24036 28320 30045 32048 40060 48072 56640 60090 64096 80120 96144 118177 120180 128192 160240 192288 236354 240360 320480 354531 384576 472708 480720 590885 640960 709062 945416 961440 1181770 1418124 1772655 1890832 1922880 2363540 2836248 3545310 3781664 4727080 5672496 7090620 7563328 9454160 11344992 14181240 18908320 22689984 28362480 37816640 56724960 113449920