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13936064 = 264147113
BaseRepresentation
bin110101001010…
…010111000000
3222020000200112
4311022113000
512031423224
61214410452
7226311632
oct65122700
928200615
1013936064
11795940a
124800a28
132b6c2bc
141bcaa52
15135430e
hexd4a5c0

13936064 has 56 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 6594560.

The previous prime is 13936061. The next prime is 13936079. The reversal of 13936064 is 46063931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13936064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123272 + ... + 123384.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 213936064 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 13936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

13936064 is an abundant number, since it is smaller than the sum of its proper divisors (15251584).

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

13936064 is a wasteful number, since it uses less digits than its factorization.

13936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 13936064 is about 3733.1038024679. The cubic root of 13936064 is about 240.6467739671.

Adding to 13936064 its reverse (46063931), we get a palindrome (59999995).

The spelling of 13936064 in words is "thirteen million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 113 164 188 226 328 376 452 656 752 904 1312 1504 1808 1927 2624 3008 3616 3854 4633 5311 7232 7708 9266 10622 15416 18532 21244 30832 37064 42488 61664 74128 84976 123328 148256 169952 217751 296512 339904 435502 871004 1742008 3484016 6968032 13936064