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13596228 = 2233312131
BaseRepresentation
bin110011110111…
…011001000100
3221120202112000
4303313121010
511440034403
61203225300
7223365102
oct63673104
927522460
1013596228
117747058
124678230
132a80709
141b3cc72
1512d87a3
hexcf7644

13596228 has 72 divisors (see below), whose sum is σ = 36701280. Its totient is φ = 4352400.

The previous prime is 13596227. The next prime is 13596241. The reversal of 13596228 is 82269531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13596192 and 13596201.

It is not an unprimeable number, because it can be changed into a prime (13596221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 103723 + ... + 103853.

It is an arithmetic number, because the mean of its divisors is an integer number (509740).

Almost surely, 213596228 is an apocalyptic number.

13596228 is a gapful number since it is divisible by the number (18) 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 13596228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350640).

13596228 is an abundant number, since it is smaller than the sum of its proper divisors (23105052).

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

13596228 is a wasteful number, since it uses less digits than its factorization.

13596228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13596228 is about 3687.3063338974. The cubic root of 13596228 is about 238.6745686067.

It can be divided in two parts, 13596 and 228, that added together give a cube (13824 = 243).

The spelling of 13596228 in words is "thirteen million, five hundred ninety-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 131 186 262 279 372 393 524 558 786 837 961 1116 1179 1572 1674 1922 2358 2883 3348 3537 3844 4061 4716 5766 7074 8122 8649 11532 12183 14148 16244 17298 24366 25947 34596 36549 48732 51894 73098 103788 109647 125891 146196 219294 251782 377673 438588 503564 755346 1133019 1510692 2266038 3399057 4532076 6798114 13596228