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12506240 = 27519541
BaseRepresentation
bin101111101101…
…010010000000
3212112101100002
4233231102000
511200144430
61124015132
7211205225
oct57552200
925471302
1012506240
11707213a
1242314a8
13278b556
14193794c
151170845
hexbed480

12506240 has 32 divisors (see below), whose sum is σ = 29899260. Its totient is φ = 5002240.

The previous prime is 12506239. The next prime is 12506257. The reversal of 12506240 is 4260521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11999296 + 506944 = 3464^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9131 + ... + 10410.

Almost surely, 212506240 is an apocalyptic number.

12506240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12506240 is an abundant number, since it is smaller than the sum of its proper divisors (17393020).

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

12506240 is an equidigital number, since it uses as much as digits as its factorization.

12506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19560 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12506240 is about 3536.4162650910. The cubic root of 12506240 is about 232.1180532755.

Adding to 12506240 its reverse (4260521), we get a palindrome (16766761).

The spelling of 12506240 in words is "twelve million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19541 39082 78164 97705 156328 195410 312656 390820 625312 781640 1250624 1563280 2501248 3126560 6253120 12506240