Search a number
-
+
12888630 = 2325712017
BaseRepresentation
bin110001001010…
…101000110110
3220020210212200
4301022220312
511244414010
61140125330
7214360116
oct61125066
926223780
1012888630
117303467
124396846
132893611
1419d7046
1511e8cc0
hexc4aa36

12888630 has 48 divisors (see below), whose sum is σ = 33999264. Its totient is φ = 3386880.

The previous prime is 12888619. The next prime is 12888641. The reversal of 12888630 is 3688821.

12888630 is a `hidden beast` number, since 12 + 8 + 8 + 8 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (12888619) and next prime (12888641).

It is a super-2 number, since 2×128886302 = 332233566553800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5382 + ... + 7398.

It is an arithmetic number, because the mean of its divisors is an integer number (708318).

Almost surely, 212888630 is an apocalyptic number.

12888630 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 12888630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999632).

12888630 is an abundant number, since it is smaller than the sum of its proper divisors (21110634).

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

12888630 is a wasteful number, since it uses less digits than its factorization.

12888630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12888630 is about 3590.0738153971. The cubic root of 12888630 is about 234.4600853743.

The spelling of 12888630 in words is "twelve million, eight hundred eighty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2017 2130 3195 4034 6051 6390 10085 12102 18153 20170 30255 36306 60510 90765 143207 181530 286414 429621 716035 859242 1288863 1432070 2148105 2577726 4296210 6444315 12888630