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113896320 = 2735137433
BaseRepresentation
bin1101100100111…
…10101110000000
321221022112101020
412302132232000
5213124140240
615145105440
72552050146
oct662365600
9257275336
10113896320
1159322a9a
1232188280
131a79a995
14111ab596
159eec0d0
hex6c9eb80

113896320 has 128 divisors (see below), whose sum is σ = 366539040. Its totient is φ = 30081024.

The previous prime is 113896313. The next prime is 113896361. The reversal of 113896320 is 23698311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262824 + ... + 263256.

Almost surely, 2113896320 is an apocalyptic number.

113896320 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 113896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183269520).

113896320 is an abundant number, since it is smaller than the sum of its proper divisors (252642720).

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

113896320 is a wasteful number, since it uses less digits than its factorization.

113896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

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

The square root of 113896320 is about 10672.2218867488. The cubic root of 113896320 is about 484.7337185687.

The spelling of 113896320 in words is "one hundred thirteen million, eight hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 274 320 384 411 433 480 548 640 685 822 866 960 1096 1299 1370 1644 1732 1920 2055 2165 2192 2598 2740 3288 3464 4110 4330 4384 5196 5480 6495 6576 6928 8220 8660 8768 10392 10960 12990 13152 13856 16440 17320 17536 20784 21920 25980 26304 27712 32880 34640 41568 43840 51960 52608 55424 59321 65760 69280 83136 87680 103920 118642 131520 138560 166272 177963 207840 237284 263040 277120 296605 355926 415680 474568 593210 711852 831360 889815 949136 1186420 1423704 1779630 1898272 2372840 2847408 3559260 3796544 4745680 5694816 7118520 7593088 9491360 11389632 14237040 18982720 22779264 28474080 37965440 56948160 113896320