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12444680 = 2351718301
BaseRepresentation
bin101111011110…
…010000001000
3212102020220002
4233132100020
511141212210
61122422132
7210530603
oct57362010
925366802
1012444680
11702a966
124201948
132769521
14191d33a
15115c4a5
hexbde408

12444680 has 32 divisors (see below), whose sum is σ = 29649240. Its totient is φ = 4684800.

The previous prime is 12444661. The next prime is 12444701. The reversal of 12444680 is 8644421.

It can be written as a sum of positive squares in 4 ways, for example, as 7873636 + 4571044 = 2806^2 + 2138^2 .

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 7 ways as a sum of consecutive naturals, for example, 8471 + ... + 9830.

Almost surely, 212444680 is an apocalyptic number.

12444680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444680 is an abundant number, since it is smaller than the sum of its proper divisors (17204560).

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

12444680 is a wasteful number, since it uses less digits than its factorization.

12444680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18329 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 12444680 is about 3527.7018014566. The cubic root of 12444680 is about 231.7365717881.

The spelling of 12444680 in words is "twelve million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 18301 36602 73204 91505 146408 183010 311117 366020 622234 732040 1244468 1555585 2488936 3111170 6222340 12444680