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12520720 = 245532953
BaseRepresentation
bin101111110000…
…110100010000
3212120010012101
4233300310100
511201130340
61124210144
7211265362
oct57606420
925503171
1012520720
117082003
124239954
132795014
14193cd32
151174c9a
hexbf0d10

12520720 has 40 divisors (see below), whose sum is σ = 29669976. Its totient is φ = 4912128.

The previous prime is 12520709. The next prime is 12520723. The reversal of 12520720 is 2702521.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 8456464 = 2016^2 + 2908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520723) 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, 2764 + ... + 5716.

Almost surely, 212520720 is an apocalyptic number.

12520720 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 12520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834988).

12520720 is an abundant number, since it is smaller than the sum of its proper divisors (17149256).

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

12520720 is a wasteful number, since it uses less digits than its factorization.

12520720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12520720 is about 3538.4629431435. The cubic root of 12520720 is about 232.2076025211.

The spelling of 12520720 in words is "twelve million, five hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2953 4240 5906 11812 14765 23624 29530 47248 59060 118120 156509 236240 313018 626036 782545 1252072 1565090 2504144 3130180 6260360 12520720