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20257820 = 225113761
BaseRepresentation
bin100110101000…
…1110000011100
31102010012111122
41031101300130
520141222240
62002110112
7334121462
oct115216034
942105448
1020257820
1110487000
12694b338
13427389b
142994832
151ba24b5
hex1351c1c

20257820 has 48 divisors (see below), whose sum is σ = 46853856. Its totient is φ = 7356800.

The previous prime is 20257817. The next prime is 20257837. The reversal of 20257820 is 2875202.

It is a self number, because there is not a number n which added to its sum of digits gives 20257820.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26240 + ... + 27000.

It is an arithmetic number, because the mean of its divisors is an integer number (976122).

Almost surely, 220257820 is an apocalyptic number.

20257820 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 20257820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426928).

20257820 is an abundant number, since it is smaller than the sum of its proper divisors (26596036).

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

20257820 is a wasteful number, since it uses less digits than its factorization.

20257820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 20257820 is about 4500.8688050198. The cubic root of 20257820 is about 272.6031705403.

The spelling of 20257820 in words is "twenty million, two hundred fifty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 761 1210 1331 1522 2420 2662 3044 3805 5324 6655 7610 8371 13310 15220 16742 26620 33484 41855 83710 92081 167420 184162 368324 460405 920810 1012891 1841620 2025782 4051564 5064455 10128910 20257820