Search a number
-
+
12820660 = 2252347593
BaseRepresentation
bin110000111010…
…000010110100
3220010100122021
4300322002310
511240230120
61134442524
7213655006
oct60720264
926110567
1012820660
117267396
124363444
13286b6b8
1419ba376
1511d3aaa
hexc3a0b4

12820660 has 48 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 4792832.

The previous prime is 12820657. The next prime is 12820679. The reversal of 12820660 is 6602821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21324 + ... + 21916.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 212820660 is an apocalyptic number.

12820660 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 12820660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

12820660 is an abundant number, since it is smaller than the sum of its proper divisors (15919436).

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

12820660 is a wasteful number, since it uses less digits than its factorization.

12820660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 12820660 is about 3580.5949226351. The cubic root of 12820660 is about 234.0472060021.

The spelling of 12820660 in words is "twelve million, eight hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 593 940 1081 1186 2162 2372 2965 4324 5405 5930 10810 11860 13639 21620 27278 27871 54556 55742 68195 111484 136390 139355 272780 278710 557420 641033 1282066 2564132 3205165 6410330 12820660