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12038040 = 23325717281
BaseRepresentation
bin101101111010…
…111110011000
3211122121002100
4231322332120
511040204130
61110003400
7204215220
oct55727630
924577070
1012038040
1168823a3
124046560
132656401
141855080
1510cbc60
hexb7af98

12038040 has 192 divisors, whose sum is σ = 47511360. Its totient is φ = 2580480.

The previous prime is 12038027. The next prime is 12038041. The reversal of 12038040 is 4083021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12038041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42700 + ... + 42980.

It is an arithmetic number, because the mean of its divisors is an integer number (247455).

Almost surely, 212038040 is an apocalyptic number.

12038040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12038040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23755680).

12038040 is an abundant number, since it is smaller than the sum of its proper divisors (35473320).

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

12038040 is a wasteful number, since it uses less digits than its factorization.

12038040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12038040 is about 3469.5878717796. The cubic root of 12038040 is about 229.1845096116.

The spelling of 12038040 in words is "twelve million, thirty-eight thousand, forty".