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13028364 = 223479509
BaseRepresentation
bin110001101100…
…110000001100
3220111220120000
4301230300030
511313401424
61143124300
7215511366
oct61546014
926456500
1013028364
117399448
124443690
1329120bb
141a31d36
1512253c9
hexc6cc0c

13028364 has 60 divisors (see below), whose sum is σ = 34557600. Its totient is φ = 4279392.

The previous prime is 13028363. The next prime is 13028369. The reversal of 13028364 is 46382031.

It is a happy number.

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 (13028363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25342 + ... + 25850.

It is an arithmetic number, because the mean of its divisors is an integer number (575960).

Almost surely, 213028364 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 13028364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278800).

13028364 is an abundant number, since it is smaller than the sum of its proper divisors (21529236).

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

13028364 is a wasteful number, since it uses less digits than its factorization.

13028364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13028364 is about 3609.4825113858. The cubic root of 13028364 is about 235.3043529028.

The spelling of 13028364 in words is "thirteen million, twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 509 711 948 1018 1422 1527 2036 2133 2844 3054 4266 4581 6108 6399 8532 9162 12798 13743 18324 25596 27486 40211 41229 54972 80422 82458 120633 160844 164916 241266 361899 482532 723798 1085697 1447596 2171394 3257091 4342788 6514182 13028364