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12975336 = 23331143127
BaseRepresentation
bin110001011111…
…110011101000
3220102012211000
4301133303220
511310202321
61142035000
7215200653
oct61376350
926365730
1012975336
117362620
124418a60
1328c3c1a
141a1a89a
151214826
hexc5fce8

12975336 has 128 divisors (see below), whose sum is σ = 40550400. Its totient is φ = 3810240.

The previous prime is 12975331. The next prime is 12975341. The reversal of 12975336 is 63357921.

It is an interprime number because it is at equal distance from previous prime (12975331) and next prime (12975341).

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 12975336.

It is not an unprimeable number, because it can be changed into a prime (12975331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102105 + ... + 102231.

It is an arithmetic number, because the mean of its divisors is an integer number (316800).

Almost surely, 212975336 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 12975336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275200).

12975336 is an abundant number, since it is smaller than the sum of its proper divisors (27575064).

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

12975336 is a wasteful number, since it uses less digits than its factorization.

12975336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 12975336 is about 3602.1293702475. The cubic root of 12975336 is about 234.9846738156.

The spelling of 12975336 in words is "twelve million, nine hundred seventy-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 127 129 132 172 198 216 254 258 264 297 344 381 387 396 473 508 516 594 762 774 792 946 1016 1032 1143 1161 1188 1397 1419 1524 1548 1892 2286 2322 2376 2794 2838 3048 3096 3429 3784 4191 4257 4572 4644 5461 5588 5676 6858 8382 8514 9144 9288 10922 11176 11352 12573 12771 13716 16383 16764 17028 21844 25146 25542 27432 32766 33528 34056 37719 43688 49149 50292 51084 60071 65532 75438 98298 100584 102168 120142 131064 147447 150876 180213 196596 240284 294894 301752 360426 393192 480568 540639 589788 720852 1081278 1179576 1441704 1621917 2162556 3243834 4325112 6487668 12975336