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113536640 = 275725343
BaseRepresentation
bin1101100010001…
…10111010000000
321220122020222202
412301012322000
5213031133030
615133252332
72546021420
oct661067200
9256566882
10113536640
11590a7838
12320340a8
131a6a3059
1411116480
159e7a745
hex6c46e80

113536640 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 38925312.

The previous prime is 113536639. The next prime is 113536649. The reversal of 113536640 is 46635311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113536649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8192 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2113536640 is an apocalyptic number.

113536640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113536640 is an abundant number, since it is smaller than the sum of its proper divisors (196673920).

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

113536640 is an equidigital number, since it uses as much as digits as its factorization.

113536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25369 (or 25357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 113536640 is about 10655.3573379779. The cubic root of 113536640 is about 484.2229239687. Note that the first 3 decimals are identical.

The spelling of 113536640 in words is "one hundred thirteen million, five hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 25343 50686 101372 126715 177401 202744 253430 354802 405488 506860 709604 810976 887005 1013720 1419208 1621952 1774010 2027440 2838416 3243904 3548020 4054880 5676832 7096040 8109760 11353664 14192080 16219520 22707328 28384160 56768320 113536640