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12364420 = 2251016121
BaseRepresentation
bin101111001010…
…101010000100
3212021011210111
4233022222010
511131130140
61121002404
7210044605
oct57125204
925234714
1012364420
116a85632
124183404
13273bb33
1418dbdac
1511437ea
hexbcaa84

12364420 has 24 divisors (see below), whose sum is σ = 26226648. Its totient is φ = 4896000.

The previous prime is 12364403. The next prime is 12364433. The reversal of 12364420 is 2446321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 10536516 = 1352^2 + 3246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12364391 and 12364400.

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, 1041 + ... + 5080.

It is an arithmetic number, because the mean of its divisors is an integer number (1092777).

Almost surely, 212364420 is an apocalyptic number.

12364420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12364420 is an abundant number, since it is smaller than the sum of its proper divisors (13862228).

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

12364420 is a wasteful number, since it uses less digits than its factorization.

12364420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12364420 is about 3516.3077225977. The cubic root of 12364420 is about 231.2373141324.

The spelling of 12364420 in words is "twelve million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6121 12242 24484 30605 61210 122420 618221 1236442 2472884 3091105 6182210 12364420