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13055364 = 2233722467
BaseRepresentation
bin110001110011…
…010110000100
3220120021121000
4301303112010
511320232424
61143453300
7215653200
oct61632604
926507530
1013055364
117407763
124457230
13292148a
141a3bb00
15122d3c9
hexc73584

13055364 has 72 divisors (see below), whose sum is σ = 39389280. Its totient is φ = 3728592.

The previous prime is 13055363. The next prime is 13055369. The reversal of 13055364 is 46355031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13055363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4059 + ... + 6525.

Almost surely, 213055364 is an apocalyptic number.

13055364 is a gapful number since it is divisible by the number (14) 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 13055364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694640).

13055364 is an abundant number, since it is smaller than the sum of its proper divisors (26333916).

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

13055364 is a wasteful number, since it uses less digits than its factorization.

13055364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13055364 is about 3613.2207239525. The cubic root of 13055364 is about 235.4667891015.

The spelling of 13055364 in words is "thirteen million, fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2467 2646 4934 5292 7401 9868 14802 17269 22203 29604 34538 44406 51807 66609 69076 88812 103614 120883 133218 155421 207228 241766 266436 310842 362649 466263 483532 621684 725298 932526 1087947 1450596 1865052 2175894 3263841 4351788 6527682 13055364