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12890790 = 23251129449
BaseRepresentation
bin110001001011…
…001010100110
3220020220211200
4301023022212
511300001130
61140143330
7214366323
oct61131246
926226750
1012890790
117305050
124397b46
1328945b3
1419d7b4a
1511e9760
hexc4b2a6

12890790 has 96 divisors (see below), whose sum is σ = 37908000. Its totient is φ = 3010560.

The previous prime is 12890789. The next prime is 12890791. The reversal of 12890790 is 9709821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12890789) and next prime (12890791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28486 + ... + 28934.

It is an arithmetic number, because the mean of its divisors is an integer number (394875).

Almost surely, 212890790 is an apocalyptic number.

12890790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12890790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954000).

12890790 is an abundant number, since it is smaller than the sum of its proper divisors (25017210).

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

12890790 is a wasteful number, since it uses less digits than its factorization.

12890790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 12890790 is about 3590.3746322633. The cubic root of 12890790 is about 234.4731823312.

The spelling of 12890790 in words is "twelve million, eight hundred ninety thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 449 495 522 638 870 898 957 990 1305 1347 1595 1914 2245 2610 2694 2871 3190 4041 4490 4785 4939 5742 6735 8082 9570 9878 13021 13470 14355 14817 20205 24695 26042 28710 29634 39063 40410 44451 49390 65105 74085 78126 88902 117189 130210 143231 148170 195315 222255 234378 286462 390630 429693 444510 585945 716155 859386 1171890 1289079 1432310 2148465 2578158 4296930 6445395 12890790