Search a number
-
+
13568544 = 2532114283
BaseRepresentation
bin110011110000…
…101000100000
3221112100112200
4303300220200
511433143134
61202453200
7223221303
oct63605040
927470480
1013568544
117728280
124664200
132a70c32
141b32b3a
1512d0499
hexcf0a20

13568544 has 72 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 4110720.

The previous prime is 13568543. The next prime is 13568573. The reversal of 13568544 is 44586531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13568499 and 13568508.

It is not an unprimeable number, because it can be changed into a prime (13568543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 213568544 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 13568544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).

13568544 is an abundant number, since it is smaller than the sum of its proper divisors (28534608).

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

13568544 is a wasteful number, since it uses less digits than its factorization.

13568544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4299 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 13568544 is about 3683.5504611719. The cubic root of 13568544 is about 238.5124658911.

The spelling of 13568544 in words is "thirteen million, five hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4283 8566 12849 17132 25698 34264 38547 47113 51396 68528 77094 94226 102792 137056 141339 154188 188452 205584 282678 308376 376904 411168 424017 565356 616752 753808 848034 1130712 1233504 1507616 1696068 2261424 3392136 4522848 6784272 13568544