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13268196 = 22322971179
BaseRepresentation
bin110010100111…
…010011100100
3220222002112200
4302213103210
511344040241
61152214500
7220530534
oct62472344
926862480
1013268196
117542657
12453a430
132997306
141a954c4
1512714b6
hexca74e4

13268196 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4186560.

The previous prime is 13268183. The next prime is 13268201. The reversal of 13268196 is 69186231.

13268196 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132681963 (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13268196.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74035 + ... + 74213.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 213268196 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 13268196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13268196 is an abundant number, since it is smaller than the sum of its proper divisors (22112604).

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

13268196 is a wasteful number, since it uses less digits than its factorization.

13268196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13268196 is about 3642.5534999503. The cubic root of 13268196 is about 236.7394455356.

The spelling of 13268196 in words is "thirteen million, two hundred sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 71 87 116 142 174 179 213 261 284 348 358 426 522 537 639 716 852 1044 1074 1278 1611 2059 2148 2556 3222 4118 5191 6177 6444 8236 10382 12354 12709 15573 18531 20764 24708 25418 31146 37062 38127 46719 50836 62292 74124 76254 93438 114381 152508 186876 228762 368561 457524 737122 1105683 1474244 2211366 3317049 4422732 6634098 13268196