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113907040 = 25513232381
BaseRepresentation
bin1101100101000…
…01010101100000
321221100002002021
412302201111200
5213130011130
615145231224
72552123332
oct662412540
9257302067
10113907040
1159330055
1232192514
131a7a2820
14111b1452
15a00037a
hex6ca1560

113907040 has 96 divisors (see below), whose sum is σ = 302533056. Its totient is φ = 40212480.

The previous prime is 113907029. The next prime is 113907097. The reversal of 113907040 is 40709311.

It is a junction number, because it is equal to n+sod(n) for n = 113906996 and 113907014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46650 + ... + 49030.

It is an arithmetic number, because the mean of its divisors is an integer number (3151386).

Almost surely, 2113907040 is an apocalyptic number.

113907040 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 113907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151266528).

113907040 is an abundant number, since it is smaller than the sum of its proper divisors (188626016).

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

113907040 is a wasteful number, since it uses less digits than its factorization.

113907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 113907040 is about 10672.7241133649. The cubic root of 113907040 is about 484.7489259153.

The spelling of 113907040 in words is "one hundred thirteen million, nine hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2381 2392 2990 3680 4762 4784 5980 9524 9568 11905 11960 19048 23810 23920 30953 38096 47620 47840 54763 61906 76192 95240 109526 123812 154765 190480 219052 247624 273815 309530 380960 438104 495248 547630 619060 711919 876208 990496 1095260 1238120 1423838 1752416 2190520 2476240 2847676 3559595 4381040 4952480 5695352 7119190 8762080 11390704 14238380 22781408 28476760 56953520 113907040