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113618472 = 233113113883
BaseRepresentation
bin1101100010110…
…10111000101000
321220210102020120
412301122320220
5213041242342
615135123240
72546512122
oct661327050
9256712216
10113618472
1159153270
1232073520
131a701386
1411138212
159e94aec
hex6c5ae28

113618472 has 64 divisors (see below), whose sum is σ = 319887360. Its totient is φ = 33316800.

The previous prime is 113618447. The next prime is 113618473. The reversal of 113618472 is 274816311.

It is a super-2 number, since 2×1136184722 = 25818314359229568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (113618473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (4998240).

Almost surely, 2113618472 is an apocalyptic number.

113618472 is a gapful number since it is divisible by the number (12) 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 113618472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159943680).

113618472 is an abundant number, since it is smaller than the sum of its proper divisors (206268888).

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

113618472 is a wasteful number, since it uses less digits than its factorization.

113618472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13930 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 113618472 is about 10659.1965926143. The cubic root of 113618472 is about 484.3392312512.

The spelling of 113618472 in words is "one hundred thirteen million, six hundred eighteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 13883 27766 41649 55532 83298 111064 152713 166596 305426 333192 430373 458139 610852 860746 916278 1221704 1291119 1721492 1832556 2582238 3442984 3665112 4734103 5164476 9468206 10328952 14202309 18936412 28404618 37872824 56809236 113618472