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13418288 = 2413312081
BaseRepresentation
bin110011001011…
…111100110000
3221020201102122
4303023330300
511413341123
61155333412
7222024242
oct63137460
927221378
1013418288
1176353a4
1245b1268
132a1a720
141ad4092
1512a0bc8
hexccbf30

13418288 has 40 divisors (see below), whose sum is σ = 28914816. Its totient is φ = 5990400.

The previous prime is 13418267. The next prime is 13418299. The reversal of 13418288 is 88281431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5408 + ... + 7488.

Almost surely, 213418288 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 13418288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457408).

13418288 is an abundant number, since it is smaller than the sum of its proper divisors (15496528).

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

13418288 is a wasteful number, since it uses less digits than its factorization.

13418288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2127 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 13418288 is about 3663.0981422834. The cubic root of 13418288 is about 237.6287789134.

The spelling of 13418288 in words is "thirteen million, four hundred eighteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 2081 3224 4162 6448 8324 16648 27053 33296 54106 64511 108212 129022 216424 258044 432848 516088 838643 1032176 1677286 3354572 6709144 13418288