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113611344 = 24371159521
BaseRepresentation
bin1101100010110…
…01001001010000
321220210001110120
412301121021100
5213041030334
615135030240
72546452260
oct661311120
9256701416
10113611344
1159148980
123206b380
131a6cb062
14111357a0
159e92949
hex6c59250

113611344 has 160 divisors (see below), whose sum is σ = 372833280. Its totient is φ = 28953600.

The previous prime is 113611339. The next prime is 113611397. The reversal of 113611344 is 443116311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 217804 + ... + 218324.

It is an arithmetic number, because the mean of its divisors is an integer number (2330208).

Almost surely, 2113611344 is an apocalyptic number.

113611344 is a gapful number since it is divisible by the number (14) 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 113611344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186416640).

113611344 is an abundant number, since it is smaller than the sum of its proper divisors (259221936).

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

113611344 is a wasteful number, since it uses less digits than its factorization.

113611344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 113611344 is about 10658.8622282118. The cubic root of 113611344 is about 484.3291024926.

Adding to 113611344 its reverse (443116311), we get a palindrome (556727655).

The spelling of 113611344 in words is "one hundred thirteen million, six hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 59 66 77 84 88 112 118 132 154 168 176 177 231 236 264 308 336 354 413 462 472 521 528 616 649 708 826 924 944 1042 1232 1239 1298 1416 1563 1652 1848 1947 2084 2478 2596 2832 3126 3304 3647 3696 3894 4168 4543 4956 5192 5731 6252 6608 7294 7788 8336 9086 9912 10384 10941 11462 12504 13629 14588 15576 17193 18172 19824 21882 22924 25008 27258 29176 30739 31152 34386 36344 40117 43764 45848 54516 58352 61478 68772 72688 80234 87528 91696 92217 109032 120351 122956 137544 160468 175056 184434 215173 218064 240702 245912 275088 320936 338129 368868 430346 481404 491824 641872 645519 676258 737736 860692 962808 1014387 1291038 1352516 1475472 1721384 1925616 2028774 2366903 2582076 2705032 3442768 4057548 4733806 5164152 5410064 7100709 8115096 9467612 10328304 14201418 16230192 18935224 28402836 37870448 56805672 113611344