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113748880 = 2457229887
BaseRepresentation
bin1101100011110…
…10101110010000
321221001001010111
412301322232100
5213104431010
615142011104
72550564250
oct661725620
9257031114
10113748880
1159232243
1232116a94
131a74883b
141116d960
159ebd58a
hex6c7ab90

113748880 has 80 divisors (see below), whose sum is σ = 303909120. Its totient is φ = 38785536.

The previous prime is 113748871. The next prime is 113748913. The reversal of 113748880 is 88847311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 127797 + ... + 128683.

It is an arithmetic number, because the mean of its divisors is an integer number (3798864).

Almost surely, 2113748880 is an apocalyptic number.

113748880 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 113748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151954560).

113748880 is an abundant number, since it is smaller than the sum of its proper divisors (190160240).

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

113748880 is a wasteful number, since it uses less digits than its factorization.

113748880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 113748880 is about 10665.3119973117. The cubic root of 113748880 is about 484.5244639271.

The spelling of 113748880 in words is "one hundred thirteen million, seven hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 229 280 458 560 887 916 1145 1603 1774 1832 2290 3206 3548 3664 4435 4580 6209 6412 7096 8015 8870 9160 12418 12824 14192 16030 17740 18320 24836 25648 31045 32060 35480 49672 62090 64120 70960 99344 124180 128240 203123 248360 406246 496720 812492 1015615 1421861 1624984 2031230 2843722 3249968 4062460 5687444 7109305 8124920 11374888 14218610 16249840 22749776 28437220 56874440 113748880