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20507904 = 28342343
BaseRepresentation
bin100111000111…
…0110100000000
31102120220120000
41032032310000
520222223104
62011320000
7336212544
oct116166400
942526500
1020507904
111063798a
126a50000
134330671
142a1ba24
151c01639
hex138ed00

20507904 has 180 divisors, whose sum is σ = 65293536. Its totient is φ = 6386688.

The previous prime is 20507891. The next prime is 20507909. The reversal of 20507904 is 40970502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20507909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476907 + ... + 476949.

Almost surely, 220507904 is an apocalyptic number.

20507904 is a gapful number since it is divisible by the number (24) 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 20507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32646768).

20507904 is an abundant number, since it is smaller than the sum of its proper divisors (44785632).

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

20507904 is an equidigital number, since it uses as much as digits as its factorization.

20507904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20507904 is about 4528.5653357327. The cubic root of 20507904 is about 273.7203533291.

The spelling of 20507904 in words is "twenty million, five hundred seven thousand, nine hundred four".