Search a number
-
+
12674720 = 255372141
BaseRepresentation
bin110000010110…
…011010100000
3212211221110002
4300112122200
511221042340
61131355132
7212506352
oct60263240
925757402
1012674720
117177783
1242b2aa8
13281a146
14197d0d2
1511a5715
hexc166a0

12674720 has 48 divisors (see below), whose sum is σ = 30767688. Its totient is φ = 4930560.

The previous prime is 12674719. The next prime is 12674731. The reversal of 12674720 is 2747621.

It can be written as a sum of positive squares in 4 ways, for example, as 12645136 + 29584 = 3556^2 + 172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4850 + ... + 6990.

Almost surely, 212674720 is an apocalyptic number.

12674720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383844).

12674720 is an abundant number, since it is smaller than the sum of its proper divisors (18092968).

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

12674720 is a wasteful number, since it uses less digits than its factorization.

12674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 12674720 is about 3560.1572998956. The cubic root of 12674720 is about 233.1557469622.

The spelling of 12674720 in words is "twelve million, six hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2141 2960 4282 5920 8564 10705 17128 21410 34256 42820 68512 79217 85640 158434 171280 316868 342560 396085 633736 792170 1267472 1584340 2534944 3168680 6337360 12674720