Search a number
-
+
12605120 = 265113581
BaseRepresentation
bin110000000101…
…011011000000
3212201101222022
4300011123000
511211330440
61130101012
7212066423
oct60053300
925641868
1012605120
11712a460
12427a768
1327c4568
1419619ba
15118ecb5
hexc056c0

12605120 has 56 divisors (see below), whose sum is σ = 32753808. Its totient is φ = 4582400.

The previous prime is 12605077. The next prime is 12605137. The reversal of 12605120 is 2150621.

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, 1730 + ... + 5310.

Almost surely, 212605120 is an apocalyptic number.

12605120 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 12605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376904).

12605120 is an abundant number, since it is smaller than the sum of its proper divisors (20148688).

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

12605120 is a wasteful number, since it uses less digits than its factorization.

12605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 12605120 is about 3550.3689949074. The cubic root of 12605120 is about 232.7281915802.

Adding to 12605120 its reverse (2150621), we get a palindrome (14755741).

The spelling of 12605120 in words is "twelve million, six hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 3581 7162 14324 17905 28648 35810 39391 57296 71620 78782 114592 143240 157564 196955 229184 286480 315128 393910 572960 630256 787820 1145920 1260512 1575640 2521024 3151280 6302560 12605120