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12409120 = 25577557
BaseRepresentation
bin101111010101…
…100100100000
3212100110010001
4233111210200
511134042440
61121545344
7210322123
oct57254440
925313101
1012409120
117006179
1241a5254
132756299
1419103ba
151151b9a
hexbd5920

12409120 has 24 divisors (see below), whose sum is σ = 29316924. Its totient is φ = 4963584.

The previous prime is 12409091. The next prime is 12409127. The reversal of 12409120 is 2190421.

It can be written as a sum of positive squares in 2 ways, for example, as 11641744 + 767376 = 3412^2 + 876^2 .

It is not an unprimeable number, because it can be changed into a prime (12409127) 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 3 ways as a sum of consecutive naturals, for example, 38619 + ... + 38938.

Almost surely, 212409120 is an apocalyptic number.

12409120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12409120 is an abundant number, since it is smaller than the sum of its proper divisors (16907804).

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

12409120 is an equidigital number, since it uses as much as digits as its factorization.

12409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77572 (or 77564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12409120 is about 3522.6580872971. The cubic root of 12409120 is about 231.5156363106.

Adding to 12409120 its reverse (2190421), we get a palindrome (14599541).

The spelling of 12409120 in words is "twelve million, four hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 77557 155114 310228 387785 620456 775570 1240912 1551140 2481824 3102280 6204560 12409120