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20252688 = 243412251
BaseRepresentation
bin100110101000…
…0100000010000
31102002221110120
41031100200100
520141041223
62002030240
7334100511
oct115204020
942087416
1020252688
1110483165
126948380
134271451
142992a08
151ba0be3
hex1350810

20252688 has 60 divisors (see below), whose sum is σ = 53840304. Its totient is φ = 6560000.

The previous prime is 20252663. The next prime is 20252707. The reversal of 20252688 is 88625202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80563 + ... + 80813.

Almost surely, 220252688 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 20252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920152).

20252688 is an abundant number, since it is smaller than the sum of its proper divisors (33587616).

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

20252688 is a wasteful number, since it uses less digits than its factorization.

20252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 20252688 is about 4500.2986567560. The cubic root of 20252688 is about 272.5801486879.

The spelling of 20252688 in words is "twenty million, two hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 251 328 492 502 656 753 984 1004 1506 1681 1968 2008 3012 3362 4016 5043 6024 6724 10086 10291 12048 13448 20172 20582 26896 30873 40344 41164 61746 80688 82328 123492 164656 246984 421931 493968 843862 1265793 1687724 2531586 3375448 5063172 6750896 10126344 20252688