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12605780 = 2251125209
BaseRepresentation
bin110000000101…
…100101010100
3212201102212202
4300011211110
511211341110
61130104032
7212101355
oct60054524
925642782
1012605780
11712aa00
12427b018
1327c4955
141961d2c
1511900a5
hexc05954

12605780 has 36 divisors (see below), whose sum is σ = 29103060. Its totient is φ = 4583040.

The previous prime is 12605779. The next prime is 12605783. The reversal of 12605780 is 8750621.

It can be written as a sum of positive squares in 2 ways, for example, as 9351364 + 3254416 = 3058^2 + 1804^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12605783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185 + ... + 5024.

Almost surely, 212605780 is an apocalyptic number.

12605780 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 12605780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551530).

12605780 is an abundant number, since it is smaller than the sum of its proper divisors (16497280).

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

12605780 is a wasteful number, since it uses less digits than its factorization.

12605780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 12605780 is about 3550.4619417760. The cubic root of 12605780 is about 232.7322533669.

The spelling of 12605780 in words is "twelve million, six hundred five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5209 10418 20836 26045 52090 57299 104180 114598 229196 286495 572990 630289 1145980 1260578 2521156 3151445 6302890 12605780