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12535116 = 2231128997
BaseRepresentation
bin101111110100…
…010101001100
3212120211221120
4233310111030
511202110431
61124400540
7211355346
oct57642514
925524846
1012535116
117091900
124246150
13279b739
141944296
151179196
hexbf454c

12535116 has 72 divisors (see below), whose sum is σ = 32845680. Its totient is φ = 3717120.

The previous prime is 12535111. The next prime is 12535123. The reversal of 12535116 is 61153521.

It is not an unprimeable number, because it can be changed into a prime (12535111) 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 23 ways as a sum of consecutive naturals, for example, 129180 + ... + 129276.

It is an arithmetic number, because the mean of its divisors is an integer number (456190).

Almost surely, 212535116 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 12535116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422840).

12535116 is an abundant number, since it is smaller than the sum of its proper divisors (20310564).

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

12535116 is a wasteful number, since it uses less digits than its factorization.

12535116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 12535116 is about 3540.4965753408. The cubic root of 12535116 is about 232.2965638664.

Adding to 12535116 its reverse (61153521), we get a palindrome (73688637).

The spelling of 12535116 in words is "twelve million, five hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 97 121 132 178 194 242 267 291 356 363 388 484 534 582 726 979 1067 1068 1164 1452 1958 2134 2937 3201 3916 4268 5874 6402 8633 10769 11737 11748 12804 17266 21538 23474 25899 32307 34532 35211 43076 46948 51798 64614 70422 94963 103596 129228 140844 189926 284889 379852 569778 1044593 1139556 2089186 3133779 4178372 6267558 12535116