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113413032 = 233279127157
BaseRepresentation
bin1101100001010…
…00101110101000
321220101222102200
412300220232220
5213013204112
615130500200
72544665145
oct660505650
9256358380
10113413032
1159022987
1231b94660
131a65ba05
14110c33cc
159e53cdc
hex6c28ba8

113413032 has 96 divisors (see below), whose sum is σ = 315494400. Its totient is φ = 36796032.

The previous prime is 113413031. The next prime is 113413037. The reversal of 113413032 is 230314311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113412996 and 113413014.

It is not an unprimeable number, because it can be changed into a prime (113413031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722298 + ... + 722454.

It is an arithmetic number, because the mean of its divisors is an integer number (3286400).

Almost surely, 2113413032 is an apocalyptic number.

113413032 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 113413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157747200).

113413032 is an abundant number, since it is smaller than the sum of its proper divisors (202081368).

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

113413032 is a wasteful number, since it uses less digits than its factorization.

113413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113413032 is about 10649.5554836810. Note that the first 3 decimals coincide. The cubic root of 113413032 is about 484.0471347216.

Adding to 113413032 its reverse (230314311), we get a palindrome (343727343).

The spelling of 113413032 in words is "one hundred thirteen million, four hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 127 157 158 237 254 314 316 381 471 474 508 628 632 711 762 942 948 1016 1143 1256 1413 1422 1524 1884 1896 2286 2826 2844 3048 3768 4572 5652 5688 9144 10033 11304 12403 19939 20066 24806 30099 37209 39878 40132 49612 59817 60198 74418 79756 80264 90297 99224 111627 119634 120396 148836 159512 179451 180594 223254 239268 240792 297672 358902 361188 446508 478536 717804 722376 893016 1435608 1575181 3150362 4725543 6300724 9451086 12601448 14176629 18902172 28353258 37804344 56706516 113413032