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11513016 = 2334109163
BaseRepresentation
bin101011111010…
…110010111000
3210122220220000
4223322302320
510421404031
61050433000
7166600434
oct53726270
923586800
1011513016
116553999
123a32760
132501448
1417599c4
1510263e6
hexafacb8

11513016 has 80 divisors (see below), whose sum is σ = 32742600. Its totient is φ = 3779136.

The previous prime is 11513009. The next prime is 11513017. The reversal of 11513016 is 61031511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11513016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513017) 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, 70551 + ... + 70713.

Almost surely, 211513016 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 11513016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371300).

11513016 is an abundant number, since it is smaller than the sum of its proper divisors (21229584).

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

11513016 is a wasteful number, since it uses less digits than its factorization.

11513016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11513016 is about 3393.0835533479. The cubic root of 11513016 is about 225.8029974578.

Adding to 11513016 its reverse (61031511), we get a palindrome (72544527).

It can be divided in two parts, 115 and 13016, that added together give a palindrome (13131).

The spelling of 11513016 in words is "eleven million, five hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 163 216 218 324 326 327 436 489 648 652 654 872 978 981 1304 1308 1467 1956 1962 2616 2934 2943 3912 3924 4401 5868 5886 7848 8802 8829 11736 11772 13203 17604 17658 17767 23544 26406 35208 35316 35534 52812 53301 70632 71068 105624 106602 142136 159903 213204 319806 426408 479709 639612 959418 1279224 1439127 1918836 2878254 3837672 5756508 11513016