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113603256 = 233313231759
BaseRepresentation
bin1101100010101…
…11001010111000
321220202122101000
412301113022320
5213040301011
615134525000
72546416554
oct661271270
9256678330
10113603256
1159142898
1232066760
131a6c7480
1411132864
159e90356
hex6c572b8

113603256 has 128 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 33416064.

The previous prime is 113603207. The next prime is 113603263. The reversal of 113603256 is 652306311.

113603256 is a `hidden beast` number, since 1 + 1 + 3 + 603 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63705 + ... + 65463.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2113603256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113603256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408000).

113603256 is an abundant number, since it is smaller than the sum of its proper divisors (241212744).

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

113603256 is a wasteful number, since it uses less digits than its factorization.

113603256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 113603256 is about 10658.4828188631. The cubic root of 113603256 is about 484.3176090782.

Adding to 113603256 its reverse (652306311), we get a palindrome (765909567).

The spelling of 113603256 in words is "one hundred thirteen million, six hundred three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 299 312 351 414 468 552 598 621 702 828 897 936 1196 1242 1404 1656 1759 1794 2392 2484 2691 2808 3518 3588 4968 5277 5382 7036 7176 8073 10554 10764 14072 15831 16146 21108 21528 22867 31662 32292 40457 42216 45734 47493 63324 64584 68601 80914 91468 94986 121371 126648 137202 161828 182936 189972 205803 242742 274404 323656 364113 379944 411606 485484 525941 548808 617409 728226 823212 970968 1051882 1092339 1234818 1456452 1577823 1646424 2103764 2184678 2469636 2912904 3155646 4207528 4369356 4733469 4939272 6311292 8738712 9466938 12622584 14200407 18933876 28400814 37867752 56801628 113603256