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12420040 = 235310501
BaseRepresentation
bin101111011000…
…001111001000
3212101000002111
4233120033020
511134420130
61122112104
7210366013
oct57301710
925330074
1012420040
1170133a6
1241ab634
13275b249
14191437a
15115502a
hexbd83c8

12420040 has 16 divisors (see below), whose sum is σ = 27945180. Its totient is φ = 4968000.

The previous prime is 12420029. The next prime is 12420041. The reversal of 12420040 is 4002421.

12420040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11249316 + 1170724 = 3354^2 + 1082^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12420040.

It is not an unprimeable number, because it can be changed into a prime (12420041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155211 + ... + 155290.

Almost surely, 212420040 is an apocalyptic number.

12420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420040 is an abundant number, since it is smaller than the sum of its proper divisors (15525140).

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

12420040 is a wasteful number, since it uses less digits than its factorization.

12420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310512 (or 310508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 12420040 is about 3524.2077123802. The cubic root of 12420040 is about 231.5835274939.

Adding to 12420040 its reverse (4002421), we get a palindrome (16422461).

It can be divided in two parts, 124 and 20040, that added together give a square (20164 = 1422).

The spelling of 12420040 in words is "twelve million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 310501 621002 1242004 1552505 2484008 3105010 6210020 12420040