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13288896 = 263223071
BaseRepresentation
bin110010101100…
…010111000000
3221000010221100
4302230113000
511400221041
61152454400
7220645065
oct62542700
927003840
1013288896
117557165
12454a400
1329a386a
141a9cc6c
1512776b6
hexcac5c0

13288896 has 42 divisors (see below), whose sum is σ = 38091872. Its totient is φ = 4429440.

The previous prime is 13288889. The next prime is 13288909. The reversal of 13288896 is 69888231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10960 + ... + 12111.

Almost surely, 213288896 is an apocalyptic number.

13288896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13288896 is an abundant number, since it is smaller than the sum of its proper divisors (24802976).

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

13288896 is a wasteful number, since it uses less digits than its factorization.

13288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23089 (or 23076 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 13288896 is about 3645.3938058871. The cubic root of 13288896 is about 236.8624956792.

The spelling of 13288896 in words is "thirteen million, two hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23071 46142 69213 92284 138426 184568 207639 276852 369136 415278 553704 738272 830556 1107408 1476544 1661112 2214816 3322224 4429632 6644448 13288896