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113879844 = 223413191423
BaseRepresentation
bin1101100100110…
…10101100100100
321221021200210000
412302122230210
5213123123334
615144501300
72551651131
oct662325444
9257250700
10113879844
1159311681
123217a830
131a793330
14111a5588
159ee7299
hex6c9ab24

113879844 has 120 divisors (see below), whose sum is σ = 337715840. Its totient is φ = 33172416.

The previous prime is 113879827. The next prime is 113879849. The reversal of 113879844 is 448978311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 113879844.

It is not an unprimeable number, because it can be changed into a prime (113879849) 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 39 ways as a sum of consecutive naturals, for example, 79317 + ... + 80739.

Almost surely, 2113879844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113879844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168857920).

113879844 is an abundant number, since it is smaller than the sum of its proper divisors (223835996).

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

113879844 is a wasteful number, since it uses less digits than its factorization.

113879844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1460 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 113879844 is about 10671.4499483435. The cubic root of 113879844 is about 484.7103439244.

The spelling of 113879844 in words is "one hundred thirteen million, eight hundred seventy-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1404 1423 1482 1539 2052 2106 2223 2846 2964 3078 4212 4269 4446 5692 6156 6669 8538 8892 12807 13338 17076 18499 20007 25614 26676 27037 36998 38421 40014 51228 54074 55497 73996 76842 80028 81111 108148 110994 115263 153684 162222 166491 221988 230526 243333 324444 332982 351481 461052 486666 499473 665964 702962 729999 973332 998946 1054443 1405924 1459998 1498419 1997892 2108886 2189997 2919996 2996838 3163329 4217772 4379994 5993676 6326658 8759988 9489987 12653316 18979974 28469961 37959948 56939922 113879844