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113006826 = 2343112243
BaseRepresentation
bin1101011110001…
…01100011101010
321212122100020000
412233011203222
5212412204301
615114043430
72541353652
oct657054352
9255570200
10113006826
1158875779
1231a19576
131a548b5a
1411019362
159dc3786
hex6bc58ea

113006826 has 40 divisors (see below), whose sum is σ = 254146464. Its totient is φ = 37531080.

The previous prime is 113006821. The next prime is 113006827. The reversal of 113006826 is 628600311.

It is a super-3 number, since 3×1130068263 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113006826.

It is not an unprimeable number, because it can be changed into a prime (113006821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49261 + ... + 51503.

Almost surely, 2113006826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113006826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127073232).

113006826 is an abundant number, since it is smaller than the sum of its proper divisors (141139638).

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

113006826 is a wasteful number, since it uses less digits than its factorization.

113006826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 113006826 is about 10630.4668759185. The cubic root of 113006826 is about 483.4685472935.

The spelling of 113006826 in words is "one hundred thirteen million, six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 311 622 933 1866 2243 2799 4486 5598 6729 8397 13458 16794 20187 25191 40374 50382 60561 121122 181683 363366 697573 1395146 2092719 4185438 6278157 12556314 18834471 37668942 56503413 113006826