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113809536 = 27353659
BaseRepresentation
bin1101100100010…
…01100010000000
321221011010100000
412302021202000
5213113401121
615143200000
72551236141
oct662114200
9257133300
10113809536
1159273875
1232146000
131a76a329
1411187ac8
159ed1526
hex6c89880

113809536 has 96 divisors (see below), whose sum is σ = 339721200. Its totient is φ = 37926144.

The previous prime is 113809523. The next prime is 113809547. The reversal of 113809536 is 635908311.

It is a happy number.

113809536 is a `hidden beast` number, since 113 + 8 + 0 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1138095362 = 25905220969070592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113809536.

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, 29275 + ... + 32933.

Almost surely, 2113809536 is an apocalyptic number.

113809536 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 113809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169860600).

113809536 is an abundant number, since it is smaller than the sum of its proper divisors (225911664).

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

113809536 is an frugal number, since it uses more digits than its factorization.

113809536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113809536 is about 10668.1552294668. The cubic root of 113809536 is about 484.6105720087.

The spelling of 113809536 in words is "one hundred thirteen million, eight hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3659 3888 5184 7318 7776 10368 10977 14636 15552 21954 29272 31104 32931 43908 58544 65862 87816 98793 117088 131724 175632 197586 234176 263448 296379 351264 395172 468352 526896 592758 702528 790344 889137 1053792 1185516 1405056 1580688 1778274 2107584 2371032 3161376 3556548 4215168 4742064 6322752 7113096 9484128 12645504 14226192 18968256 28452384 37936512 56904768 113809536