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20275920 = 243557149
BaseRepresentation
bin100110101011…
…0001011010000
31102011010100000
41031112023100
520142312140
62002330000
7334225320
oct115261320
942133300
1020275920
1110499665
126959900
13427bbb2
14299b280
151ba7a30
hex13562d0

20275920 has 240 divisors, whose sum is σ = 81244800. Its totient is φ = 4603392.

The previous prime is 20275909. The next prime is 20275921. The reversal of 20275920 is 2957202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×202759202 = 822225863692800, which contains 22 as substring.

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 (20275921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 136006 + ... + 136154.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 220275920 is an apocalyptic number.

20275920 is a gapful number since it is divisible by the number (20) 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 20275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

20275920 is an abundant number, since it is smaller than the sum of its proper divisors (60968880).

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

20275920 is a wasteful number, since it uses less digits than its factorization.

20275920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

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

The square root of 20275920 is about 4502.8790789894. The cubic root of 20275920 is about 272.6843350585.

The spelling of 20275920 in words is "twenty million, two hundred seventy-five thousand, nine hundred twenty".