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12506320 = 245156329
BaseRepresentation
bin101111101101…
…010011010000
3212112101110001
4233231103100
511200200240
61124015344
7211205401
oct57552320
925471401
1012506320
117072202
124231554
13278b5b8
1419379a8
15117089a
hexbed4d0

12506320 has 20 divisors (see below), whose sum is σ = 29077380. Its totient is φ = 5002496.

The previous prime is 12506311. The next prime is 12506323. The reversal of 12506320 is 2360521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5345344 + 7160976 = 2312^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506323) 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, 78085 + ... + 78244.

It is an arithmetic number, because the mean of its divisors is an integer number (1453869).

Almost surely, 212506320 is an apocalyptic number.

12506320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12506320 is an abundant number, since it is smaller than the sum of its proper divisors (16571060).

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

12506320 is a wasteful number, since it uses less digits than its factorization.

12506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156342 (or 156336 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 12506320 is about 3536.4275759585. The cubic root of 12506320 is about 232.1185482125.

Adding to 12506320 its reverse (2360521), we get a palindrome (14866841).

The spelling of 12506320 in words is "twelve million, five hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 156329 312658 625316 781645 1250632 1563290 2501264 3126580 6253160 12506320