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113256630 = 2345373779
BaseRepresentation
bin1101100000000…
…10100010110110
321220010000220000
412300002202312
5212443203010
615123252130
72543444154
oct660024266
9256100800
10113256630
1158a26423
1231b1a046
131a605776
14110823d4
159e227c0
hex6c028b6

113256630 has 80 divisors (see below), whose sum is σ = 312847920. Its totient is φ = 29377728.

The previous prime is 113256617. The next prime is 113256631. The reversal of 113256630 is 36652311.

113256630 is a `hidden beast` number, since 1 + 1 + 3 + 25 + 6 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113256594 and 113256603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113256631) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28081 + ... + 31859.

It is an arithmetic number, because the mean of its divisors is an integer number (3910599).

Almost surely, 2113256630 is an apocalyptic number.

113256630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113256630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156423960).

113256630 is an abundant number, since it is smaller than the sum of its proper divisors (199591290).

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

113256630 is a wasteful number, since it uses less digits than its factorization.

113256630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 113256630 is about 10642.2098269110. The cubic root of 113256630 is about 483.8245243036.

It can be divided in two parts, 11325 and 6630, that added together give a triangular number (17955 = T189).

The spelling of 113256630 in words is "one hundred thirteen million, two hundred fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 3779 4995 5994 7558 9990 11337 14985 18895 22674 29970 34011 37790 56685 68022 102033 113370 139823 170055 204066 279646 306099 340110 419469 510165 612198 699115 838938 1020330 1258407 1398230 1530495 2097345 2516814 3060990 3775221 4194690 6292035 7550442 11325663 12584070 18876105 22651326 37752210 56628315 113256630