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12880580 = 225644029
BaseRepresentation
bin110001001000…
…101011000100
3220020101211112
4301020223010
511244134310
61140024152
7214324466
oct61105304
926211745
1012880580
1172a8409
124392058
13288ca5b
1419d4136
1511e6705
hexc48ac4

12880580 has 12 divisors (see below), whose sum is σ = 27049260. Its totient is φ = 5152224.

The previous prime is 12880559. The next prime is 12880589. The reversal of 12880580 is 8508821.

It can be written as a sum of positive squares in 2 ways, for example, as 9132484 + 3748096 = 3022^2 + 1936^2 .

It is a super-3 number, since 3×128805803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12880589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 321995 + ... + 322034.

It is an arithmetic number, because the mean of its divisors is an integer number (2254105).

Almost surely, 212880580 is an apocalyptic number.

12880580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12880580 is an abundant number, since it is smaller than the sum of its proper divisors (14168680).

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

12880580 is a wasteful number, since it uses less digits than its factorization.

12880580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644038 (or 644036 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 12880580 is about 3588.9524934164. The cubic root of 12880580 is about 234.4112620634.

It can be divided in two parts, 128 and 80580, that added together give a palindrome (80708).

The spelling of 12880580 in words is "twelve million, eight hundred eighty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 644029 1288058 2576116 3220145 6440290 12880580