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20485920 = 2535721367
BaseRepresentation
bin100111000100…
…1011100100000
31102112210101210
41032021130200
520221022140
62011030120
7336061500
oct116113440
942483353
1020485920
1110622414
126a3b340
134323660
142a13a00
151be9d80
hex1389720

20485920 has 288 divisors, whose sum is σ = 82047168. Its totient is φ = 4257792.

The previous prime is 20485909. The next prime is 20485943. The reversal of 20485920 is 2958402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305727 + ... + 305793.

It is an arithmetic number, because the mean of its divisors is an integer number (284886).

Almost surely, 220485920 is an apocalyptic number.

20485920 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 20485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023584).

20485920 is an abundant number, since it is smaller than the sum of its proper divisors (61561248).

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

20485920 is a wasteful number, since it uses less digits than its factorization.

20485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20485920 is about 4526.1374261063. The cubic root of 20485920 is about 273.6225110578.

The spelling of 20485920 in words is "twenty million, four hundred eighty-five thousand, nine hundred twenty".