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20388480 = 273573741
BaseRepresentation
bin100110111000…
…1101010000000
31102100211201220
41031301222000
520204412410
62004555040
7335204430
oct115615200
942324656
1020388480
1110566192
1269b2a80
1342bb1b8
1429ca2c0
151bcb070
hex1371a80

20388480 has 256 divisors, whose sum is σ = 78140160. Its totient is φ = 4423680.

The previous prime is 20388469. The next prime is 20388481. The reversal of 20388480 is 8488302.

It is not an unprimeable number, because it can be changed into a prime (20388481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497260 + ... + 497300.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 220388480 is an apocalyptic number.

20388480 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 20388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

20388480 is an abundant number, since it is smaller than the sum of its proper divisors (57751680).

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

20388480 is a wasteful number, since it uses less digits than its factorization.

20388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20388480 is about 4515.3604507282. The cubic root of 20388480 is about 273.1879986182.

The spelling of 20388480 in words is "twenty million, three hundred eighty-eight thousand, four hundred eighty".