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13282136 = 2372311093
BaseRepresentation
bin110010101010…
…101101011000
3220222210122222
4302222231120
511400012021
61152403212
7220616300
oct62525530
926883588
1013282136
11755207a
124546508
1329a076a
141a9a600
1512756ab
hexcaab58

13282136 has 48 divisors (see below), whose sum is σ = 29931840. Its totient is φ = 5503680.

The previous prime is 13282123. The next prime is 13282163. The reversal of 13282136 is 63128231.

13282136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 11606 + ... + 12698.

It is an arithmetic number, because the mean of its divisors is an integer number (623580).

Almost surely, 213282136 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 13282136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965920).

13282136 is an abundant number, since it is smaller than the sum of its proper divisors (16649704).

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

13282136 is a wasteful number, since it uses less digits than its factorization.

13282136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1133 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 13282136 is about 3644.4664904482. The cubic root of 13282136 is about 236.8223252478.

The spelling of 13282136 in words is "thirteen million, two hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1093 1519 1736 2186 3038 4372 6076 7651 8744 12152 15302 30604 33883 53557 61208 67766 107114 135532 214228 237181 271064 428456 474362 948724 1660267 1897448 3320534 6641068 13282136