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12508480 = 26539089
BaseRepresentation
bin101111101101…
…110101000000
3212112111102001
4233231311000
511200232410
61124033344
7211214605
oct57556500
925474361
1012508480
117073896
124232854
13278c58a
1419386ac
15117133a
hexbedd40

12508480 has 28 divisors (see below), whose sum is σ = 29786580. Its totient is φ = 5003264.

The previous prime is 12508453. The next prime is 12508487. The reversal of 12508480 is 8480521.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 8248384 = 2064^2 + 2872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19225 + ... + 19864.

Almost surely, 212508480 is an apocalyptic number.

12508480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12508480 is an abundant number, since it is smaller than the sum of its proper divisors (17278100).

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

12508480 is an equidigital number, since it uses as much as digits as its factorization.

12508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39106 (or 39096 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 12508480 is about 3536.7329557093. The cubic root of 12508480 is about 232.1319107152.

It can be divided in two parts, 1250 and 8480, that added together give a triangular number (9730 = T139).

The spelling of 12508480 in words is "twelve million, five hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 39089 78178 156356 195445 312712 390890 625424 781780 1250848 1563560 2501696 3127120 6254240 12508480