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113397760 = 212572113
BaseRepresentation
bin1101100001001…
…01000000000000
321220101012111001
412300211000000
5213012212020
615130301344
72544602500
oct660450000
9256335431
10113397760
1159012463
1231b87854
131a654a88
14110bba00
159e4e50a
hex6c25000

113397760 has 156 divisors (see below), whose sum is σ = 319350708. Its totient is φ = 38535168.

The previous prime is 113397737. The next prime is 113397761. The reversal of 113397760 is 67793311.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 97140736 = 4032^2 + 9856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113397761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003464 + ... + 1003576.

Almost surely, 2113397760 is an apocalyptic number.

113397760 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 113397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159675354).

113397760 is an abundant number, since it is smaller than the sum of its proper divisors (205952948).

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

113397760 is an equidigital number, since it uses as much as digits as its factorization.

113397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 113397760 is about 10648.8384343082. The cubic root of 113397760 is about 484.0254067668.

The spelling of 113397760 in words is "one hundred thirteen million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 113 128 140 160 196 224 226 245 256 280 320 392 448 452 490 512 560 565 640 784 791 896 904 980 1024 1120 1130 1280 1568 1582 1792 1808 1960 2048 2240 2260 2560 3136 3164 3584 3616 3920 3955 4096 4480 4520 5120 5537 6272 6328 7168 7232 7840 7910 8960 9040 10240 11074 12544 12656 14336 14464 15680 15820 17920 18080 20480 22148 25088 25312 27685 28672 28928 31360 31640 35840 36160 44296 50176 50624 55370 57856 62720 63280 71680 72320 88592 100352 101248 110740 115712 125440 126560 143360 144640 177184 200704 202496 221480 231424 250880 253120 289280 354368 404992 442960 462848 501760 506240 578560 708736 809984 885920 1003520 1012480 1157120 1417472 1619968 1771840 2024960 2314240 2834944 3239936 3543680 4049920 5669888 7087360 8099840 11339776 14174720 16199680 22679552 28349440 56698880 113397760