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12255580 = 225643953
BaseRepresentation
bin101110110000…
…000101011100
3212001122111101
4232300011130
511114134310
61114402444
7206112361
oct56600534
925048441
1012255580
116a10887
124130424
13270142c
1418b0468
15112143a
hexbb015c

12255580 has 24 divisors (see below), whose sum is σ = 25803792. Its totient is φ = 4889472.

The previous prime is 12255533. The next prime is 12255587. The reversal of 12255580 is 8555221.

It is a super-3 number, since 3×122555803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12255587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12384 + ... + 13336.

It is an arithmetic number, because the mean of its divisors is an integer number (1075158).

Almost surely, 212255580 is an apocalyptic number.

12255580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12255580 is an abundant number, since it is smaller than the sum of its proper divisors (13548212).

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

12255580 is a wasteful number, since it uses less digits than its factorization.

12255580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 12255580 is about 3500.7970521011. The cubic root of 12255580 is about 230.5568109693.

The spelling of 12255580 in words is "twelve million, two hundred fifty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 643 953 1286 1906 2572 3215 3812 4765 6430 9530 12860 19060 612779 1225558 2451116 3063895 6127790 12255580