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13294288 = 247231547
BaseRepresentation
bin110010101101…
…101011010000
3221000102100001
4302231223100
511400404123
61152535344
7220666600
oct62555320
927012301
1013294288
117560217
124551554
1329a6157
141aa0c00
1512790ad
hexcadad0

13294288 has 60 divisors (see below), whose sum is σ = 30986112. Its totient is φ = 5503680.

The previous prime is 13294271. The next prime is 13294301. The reversal of 13294288 is 88249231.

13294288 is nontrivially palindromic in base 12.

13294288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24031 + ... + 24577.

Almost surely, 213294288 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 13294288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493056).

13294288 is an abundant number, since it is smaller than the sum of its proper divisors (17691824).

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

13294288 is a wasteful number, since it uses less digits than its factorization.

13294288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 13294288 is about 3646.1332943270. The cubic root of 13294288 is about 236.8945271807.

The spelling of 13294288 in words is "thirteen million, two hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 547 784 868 1094 1519 1736 2188 3038 3472 3829 4376 6076 7658 8752 12152 15316 16957 24304 26803 30632 33914 53606 61264 67828 107212 118699 135656 214424 237398 271312 428848 474796 830893 949592 1661786 1899184 3323572 6647144 13294288