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13323296 = 257229293
BaseRepresentation
bin110010110100…
…110000100000
3221001220010102
4302310300200
511402321141
61153321532
7221150300
oct62646040
927056112
1013323296
11757aa98
1245662a8
1329b640c
141aab600
15128299b
hexcb4c20

13323296 has 72 divisors (see below), whose sum is σ = 31672620. Its totient is φ = 5494272.

The previous prime is 13323287. The next prime is 13323337. The reversal of 13323296 is 69232331.

It can be written as a sum of positive squares in 2 ways, for example, as 12250000 + 1073296 = 3500^2 + 1036^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 45326 + ... + 45618.

Almost surely, 213323296 is an apocalyptic number.

13323296 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 13323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836310).

13323296 is an abundant number, since it is smaller than the sum of its proper divisors (18349324).

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

13323296 is a wasteful number, since it uses less digits than its factorization.

13323296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The square root of 13323296 is about 3650.1090394672. The cubic root of 13323296 is about 237.0667024890.

The spelling of 13323296 in words is "thirteen million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 293 392 406 464 586 784 812 928 1172 1421 1568 1624 2051 2344 2842 3248 4102 4688 5684 6496 8204 8497 9376 11368 14357 16408 16994 22736 28714 32816 33988 45472 57428 59479 65632 67976 114856 118958 135952 229712 237916 271904 416353 459424 475832 832706 951664 1665412 1903328 3330824 6661648 13323296