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113138256 = 24372114373
BaseRepresentation
bin1101011111001…
…01101001010000
321212220000111210
412233211221100
5212430411011
615120540120
72542442100
oct657455120
9255800453
10113138256
11589554a0
1231a81640
131a59391a
1411051200
159dec6a6
hex6be5a50

113138256 has 120 divisors (see below), whose sum is σ = 370985184. Its totient is φ = 29379840.

The previous prime is 113138243. The next prime is 113138257. The reversal of 113138256 is 652831311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113138257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23686 + ... + 28058.

Almost surely, 2113138256 is an apocalyptic number.

113138256 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 113138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185492592).

113138256 is an abundant number, since it is smaller than the sum of its proper divisors (257846928).

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

113138256 is a wasteful number, since it uses less digits than its factorization.

113138256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4396 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 113138256 is about 10636.6468400526. The cubic root of 113138256 is about 483.6559036846.

Adding to 113138256 its reverse (652831311), we get a palindrome (765969567).

The spelling of 113138256 in words is "one hundred thirteen million, one hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 4373 6468 8624 8746 12936 13119 17492 25872 26238 30611 34984 48103 52476 61222 69968 91833 96206 104952 122444 144309 183666 192412 209904 214277 244888 288618 336721 367332 384824 428554 489776 577236 642831 673442 734664 769648 857108 1010163 1154472 1285662 1346884 1469328 1714216 2020326 2308944 2357047 2571324 2693768 3428432 4040652 4714094 5142648 5387536 7071141 8081304 9428188 10285296 14142282 16162608 18856376 28284564 37712752 56569128 113138256