Search a number
-
+
12918630 = 2352931479
BaseRepresentation
bin110001010001…
…111101100110
3220022100000210
4301101331212
511301344010
61140520250
7214543434
oct61217546
926270023
1012918630
117323a5a
1243b0086
1328a417a
141a03d54
151202b20
hexc51f66

12918630 has 64 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 3212160.

The previous prime is 12918583. The next prime is 12918637. The reversal of 12918630 is 3681921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12918637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26731 + ... + 27209.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 212918630 is an apocalyptic number.

12918630 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 12918630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

12918630 is an abundant number, since it is smaller than the sum of its proper divisors (20258970).

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

12918630 is a wasteful number, since it uses less digits than its factorization.

12918630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12918630 is about 3594.2495739723. The cubic root of 12918630 is about 234.6418567557.

The spelling of 12918630 in words is "twelve million, nine hundred eighteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 479 870 899 930 958 1437 1798 2395 2697 2874 4495 4790 5394 7185 8990 13485 13891 14370 14849 26970 27782 29698 41673 44547 69455 74245 83346 89094 138910 148490 208365 222735 416730 430621 445470 861242 1291863 2153105 2583726 4306210 6459315 12918630