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13009304 = 237311431
BaseRepresentation
bin110001101000…
…000110011000
3220110221102002
4301220012120
511312244204
61142500132
7215402000
oct61500630
926427362
1013009304
1173860a0
124434648
132906519
141a29000
15121e91e
hexc68198

13009304 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 5056800.

The previous prime is 13009303. The next prime is 13009307. The reversal of 13009304 is 40390031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29969 + ... + 30399.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 213009304 is an apocalyptic number.

13009304 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 13009304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

13009304 is an abundant number, since it is smaller than the sum of its proper divisors (18094696).

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

13009304 is a wasteful number, since it uses less digits than its factorization.

13009304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 13009304 is about 3606.8412773506. The cubic root of 13009304 is about 235.1895498002.

Adding to 13009304 its reverse (40390031), we get a palindrome (53399335).

The spelling of 13009304 in words is "thirteen million, nine thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 431 539 616 686 862 1078 1372 1724 2156 2744 3017 3448 3773 4312 4741 6034 7546 9482 12068 15092 18964 21119 24136 30184 33187 37928 42238 66374 84476 132748 147833 168952 232309 265496 295666 464618 591332 929236 1182664 1626163 1858472 3252326 6504652 13009304