Search a number
-
+
13144896 = 26337607
BaseRepresentation
bin110010001001…
…001101000000
3220201211102000
4302021031000
511331114041
61145424000
7216505212
oct62111500
926654360
1013144896
117468a56
12449b000
13295315b
141a625b2
151249bb6
hexc89340

13144896 has 56 divisors (see below), whose sum is σ = 38648640. Its totient is φ = 4381056.

The previous prime is 13144877. The next prime is 13144897. The reversal of 13144896 is 69844131.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 13144896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144897) 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, 2076 + ... + 5531.

Almost surely, 213144896 is an apocalyptic number.

13144896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13144896 is an abundant number, since it is smaller than the sum of its proper divisors (25503744).

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

13144896 is an equidigital number, since it uses as much as digits as its factorization.

13144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7612 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13144896 is about 3625.5890555881. The cubic root of 13144896 is about 236.0038302548.

The spelling of 13144896 in words is "thirteen million, one hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7607 15214 22821 30428 45642 60856 68463 91284 121712 136926 182568 205389 243424 273852 365136 410778 486848 547704 730272 821556 1095408 1460544 1643112 2190816 3286224 4381632 6572448 13144896