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12890196 = 22321143757
BaseRepresentation
bin110001001011…
…000001010100
3220020220000200
4301023001110
511244441241
61140140500
7214364514
oct61130124
926226020
1012890196
117304660
124397730
132894247
1419d7844
1511e94b6
hexc4b054

12890196 has 72 divisors (see below), whose sum is σ = 36420384. Its totient is φ = 3810240.

The previous prime is 12890191. The next prime is 12890209. The reversal of 12890196 is 69109821.

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 12890196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16650 + ... + 17406.

Almost surely, 212890196 is an apocalyptic number.

12890196 is the 2271-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12890196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18210192).

12890196 is an abundant number, since it is smaller than the sum of its proper divisors (23530188).

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

12890196 is a wasteful number, since it uses less digits than its factorization.

12890196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12890196 is about 3590.2919101377. The cubic root of 12890196 is about 234.4695808139.

The spelling of 12890196 in words is "twelve million, eight hundred ninety thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 757 774 946 1419 1514 1548 1892 2271 2838 3028 4257 4542 5676 6813 8327 8514 9084 13626 16654 17028 24981 27252 32551 33308 49962 65102 74943 97653 99924 130204 149886 195306 292959 299772 358061 390612 585918 716122 1074183 1171836 1432244 2148366 3222549 4296732 6445098 12890196