Search a number
-
+
12679875 = 335313172
BaseRepresentation
bin110000010111…
…101011000011
3212212012112000
4300113223003
511221224000
61131435043
7212530365
oct60275303
925765460
1012679875
11718063a
1242b5a83
13281c5b0
141980d35
1511a7000
hexc17ac3

12679875 has 96 divisors (see below), whose sum is σ = 26819520. Its totient is φ = 5875200.

The previous prime is 12679871. The next prime is 12679903. The reversal of 12679875 is 57897621.

12679875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12679875 - 22 = 12679871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12679875.

It is not an unprimeable number, because it can be changed into a prime (12679871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745867 + ... + 745883.

It is an arithmetic number, because the mean of its divisors is an integer number (279370).

Almost surely, 212679875 is an apocalyptic number.

12679875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12679875 is an abundant number, since it is smaller than the sum of its proper divisors (14139645).

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

12679875 is a wasteful number, since it uses less digits than its factorization.

12679875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 12679875 is about 3560.8812111611. The cubic root of 12679875 is about 233.1873519988.

The spelling of 12679875 in words is "twelve million, six hundred seventy-nine thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 85 117 125 135 153 195 221 225 255 289 325 351 375 425 459 585 663 675 765 867 975 1105 1125 1275 1445 1625 1755 1989 2125 2295 2601 2925 3315 3375 3757 3825 4335 4875 5525 5967 6375 7225 7803 8775 9945 11271 11475 13005 14625 16575 18785 19125 21675 27625 29835 33813 36125 39015 43875 49725 56355 57375 65025 82875 93925 101439 108375 149175 169065 195075 248625 281775 325125 469625 507195 745875 845325 975375 1408875 2535975 4226625 12679875