Search a number
-
+
113403136 = 287112523
BaseRepresentation
bin1101100001001…
…10010100000000
321220101110212011
412300212110000
5213012400021
615130342304
72544624250
oct660462400
9256343764
10113403136
1159016500
1231b8a994
131a657362
14110bd960
159e50de1
hex6c26500

113403136 has 108 divisors (see below), whose sum is σ = 284900896. Its totient is φ = 44098560.

The previous prime is 113403119. The next prime is 113403167. The reversal of 113403136 is 631304311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216571 + ... + 217093.

Almost surely, 2113403136 is an apocalyptic number.

113403136 is a gapful number since it is divisible by the number (16) 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 113403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142450448).

113403136 is an abundant number, since it is smaller than the sum of its proper divisors (171497760).

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

113403136 is an equidigital number, since it uses as much as digits as its factorization.

113403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 113403136 is about 10649.0908532137. The cubic root of 113403136 is about 484.0330555936.

Adding to 113403136 its reverse (631304311), we get a palindrome (744707447).

The spelling of 113403136 in words is "one hundred thirteen million, four hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 523 616 704 847 896 968 1046 1232 1408 1694 1792 1936 2092 2464 2816 3388 3661 3872 4184 4928 5753 6776 7322 7744 8368 9856 11506 13552 14644 15488 16736 19712 23012 27104 29288 30976 33472 40271 46024 54208 58576 63283 66944 80542 92048 108416 117152 126566 133888 161084 184096 216832 234304 253132 322168 368192 442981 468608 506264 644336 736384 885962 937216 1012528 1288672 1472768 1771924 2025056 2577344 3543848 4050112 5154688 7087696 8100224 10309376 14175392 16200448 28350784 56701568 113403136