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20258928 = 2432269523
BaseRepresentation
bin100110101001…
…0000001110000
31102010021000200
41031102001300
520141241203
62002115200
7334124634
oct115220160
942107020
1020258928
1110487918
12694bb00
134274241
142994dc4
151ba29a3
hex1352070

20258928 has 60 divisors (see below), whose sum is σ = 57016440. Its totient is φ = 6715008.

The previous prime is 20258923. The next prime is 20258939. The reversal of 20258928 is 82985202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20258892 and 20258901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20258923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38475 + ... + 38997.

It is an arithmetic number, because the mean of its divisors is an integer number (950274).

Almost surely, 220258928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20258928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28508220).

20258928 is an abundant number, since it is smaller than the sum of its proper divisors (36757512).

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

20258928 is a wasteful number, since it uses less digits than its factorization.

20258928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20258928 is about 4500.9918906837. The cubic root of 20258928 is about 272.6081404533.

The spelling of 20258928 in words is "twenty million, two hundred fifty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 523 538 807 1046 1076 1569 1614 2092 2152 2421 3138 3228 4184 4304 4707 4842 6276 6456 8368 9414 9684 12552 12912 18828 19368 25104 37656 38736 75312 140687 281374 422061 562748 844122 1125496 1266183 1688244 2250992 2532366 3376488 5064732 6752976 10129464 20258928