Search a number
-
+
13114944 = 263222769
BaseRepresentation
bin110010000001…
…111001000000
3220200022022200
4302001321000
511324134234
61145033200
7216321663
oct62017100
926608280
1013114944
1174484a7
124485800
13294262b
141a556da
151240d99
hexc81e40

13114944 has 42 divisors (see below), whose sum is σ = 37593270. Its totient is φ = 4371456.

The previous prime is 13114943. The next prime is 13114949. The reversal of 13114944 is 44941131.

It can be written as a sum of positive squares in only one way, i.e., 7354944 + 5760000 = 2712^2 + 2400^2 .

It is a super-2 number, since 2×131149442 = 344003512246272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13114943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10809 + ... + 11960.

Almost surely, 213114944 is an apocalyptic number.

It is an amenable number.

13114944 is an abundant number, since it is smaller than the sum of its proper divisors (24478326).

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

13114944 is a wasteful number, since it uses less digits than its factorization.

13114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22787 (or 22774 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13114944 is about 3621.4560607579. The cubic root of 13114944 is about 235.8244409183.

The spelling of 13114944 in words is "thirteen million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22769 45538 68307 91076 136614 182152 204921 273228 364304 409842 546456 728608 819684 1092912 1457216 1639368 2185824 3278736 4371648 6557472 13114944