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113413216 = 2574153233
BaseRepresentation
bin1101100001010…
…00110001100000
321220101222200111
412300220301200
5213013210331
615130501104
72544665530
oct660506140
9256358614
10113413216
1159023034
1231b94794
131a65bb17
14110c34c0
159e53db1
hex6c28c60

113413216 has 96 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 46325760.

The previous prime is 113413193. The next prime is 113413217. The reversal of 113413216 is 612314311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113413217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486636 + ... + 486868.

It is an arithmetic number, because the mean of its divisors is an integer number (2786238).

Almost surely, 2113413216 is an apocalyptic number.

113413216 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 113413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

113413216 is an abundant number, since it is smaller than the sum of its proper divisors (154065632).

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

113413216 is a wasteful number, since it uses less digits than its factorization.

113413216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 113413216 is about 10649.5641225357. The cubic root of 113413216 is about 484.0473964923.

Adding to 113413216 its reverse (612314311), we get a palindrome (725727527).

The spelling of 113413216 in words is "one hundred thirteen million, four hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 53 56 82 106 112 164 212 224 233 287 328 371 424 466 574 656 742 848 932 1148 1312 1484 1631 1696 1864 2173 2296 2968 3262 3728 4346 4592 5936 6524 7456 8692 9184 9553 11872 12349 13048 15211 17384 19106 24698 26096 30422 34768 38212 49396 52192 60844 66871 69536 76424 86443 98792 121688 133742 152848 172886 197584 243376 267484 305696 345772 395168 486752 506309 534968 691544 1012618 1069936 1383088 2025236 2139872 2766176 3544163 4050472 7088326 8100944 14176652 16201888 28353304 56706608 113413216