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13324896 = 2532133559
BaseRepresentation
bin110010110101…
…001001100000
3221001222022200
4302311021200
511402344041
61153333200
7221155044
oct62651140
927058280
1013324896
117581212
124567200
1329b7070
141aac024
1512831b6
hexcb5260

13324896 has 72 divisors (see below), whose sum is σ = 40818960. Its totient is φ = 4098816.

The previous prime is 13324879. The next prime is 13324907. The reversal of 13324896 is 69842331.

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 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 13324896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1965 + ... + 5523.

It is an arithmetic number, because the mean of its divisors is an integer number (566930).

Almost surely, 213324896 is an apocalyptic number.

13324896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409480).

13324896 is an abundant number, since it is smaller than the sum of its proper divisors (27494064).

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

13324896 is a wasteful number, since it uses less digits than its factorization.

13324896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3577 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13324896 is about 3650.3282044222. The cubic root of 13324896 is about 237.0761919211.

The spelling of 13324896 in words is "thirteen million, three hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3559 3744 7118 10677 14236 21354 28472 32031 42708 46267 56944 64062 85416 92534 113888 128124 138801 170832 185068 256248 277602 341664 370136 416403 512496 555204 740272 832806 1024992 1110408 1480544 1665612 2220816 3331224 4441632 6662448 13324896