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12626720 = 255531489
BaseRepresentation
bin110000001010…
…101100100000
3212202111121022
4300022230200
511213023340
61130345012
7212216411
oct60125440
925674538
1012626720
117144707
12428b168
132801342
141969808
1511963b5
hexc0ab20

12626720 has 48 divisors (see below), whose sum is σ = 30413880. Its totient is φ = 4952064.

The previous prime is 12626693. The next prime is 12626743. The reversal of 12626720 is 2762621.

It can be written as a sum of positive squares in 4 ways, for example, as 9709456 + 2917264 = 3116^2 + 1708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12626720.

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, 7736 + ... + 9224.

Almost surely, 212626720 is an apocalyptic number.

12626720 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 12626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206940).

12626720 is an abundant number, since it is smaller than the sum of its proper divisors (17787160).

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

12626720 is a wasteful number, since it uses less digits than its factorization.

12626720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12626720 is about 3553.4096302003. The cubic root of 12626720 is about 232.8610492418.

The spelling of 12626720 in words is "twelve million, six hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1489 1696 2120 2978 4240 5956 7445 8480 11912 14890 23824 29780 47648 59560 78917 119120 157834 238240 315668 394585 631336 789170 1262672 1578340 2525344 3156680 6313360 12626720