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12553040 = 245156913
BaseRepresentation
bin101111111000…
…101101010000
3212121202112102
4233320231100
511203144130
61125015532
7211461533
oct57705520
925552472
1012553040
1170a4315
1242545a8
1327a6946
14194aa1a
15117e645
hexbf8b50

12553040 has 20 divisors (see below), whose sum is σ = 29186004. Its totient is φ = 5021184.

The previous prime is 12553039. The next prime is 12553043. The reversal of 12553040 is 4035521.

It can be written as a sum of positive squares in 2 ways, for example, as 8456464 + 4096576 = 2908^2 + 2024^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553043) 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, 78377 + ... + 78536.

Almost surely, 212553040 is an apocalyptic number.

12553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12553040 is an abundant number, since it is smaller than the sum of its proper divisors (16632964).

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

12553040 is a wasteful number, since it uses less digits than its factorization.

12553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156926 (or 156920 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 12553040 is about 3543.0269544558. The cubic root of 12553040 is about 232.4072316531.

Adding to 12553040 its reverse (4035521), we get a palindrome (16588561).

The spelling of 12553040 in words is "twelve million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 156913 313826 627652 784565 1255304 1569130 2510608 3138260 6276520 12553040