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20259820 = 2257473079
BaseRepresentation
bin100110101001…
…0001111101100
31102010022020201
41031102033230
520141303240
62002123244
7334130350
oct115221754
942108221
1020259820
1110488559
126950524
134274779
142995460
151ba2d9a
hex13523ec

20259820 has 48 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 6796224.

The previous prime is 20259809. The next prime is 20259823. The reversal of 20259820 is 2895202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20259823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5041 + ... + 8119.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 220259820 is an apocalyptic number.

20259820 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 20259820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

20259820 is an abundant number, since it is smaller than the sum of its proper divisors (29414420).

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

20259820 is a wasteful number, since it uses less digits than its factorization.

20259820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 20259820 is about 4501.0909788628. The cubic root of 20259820 is about 272.6121413707.

The spelling of 20259820 in words is "twenty million, two hundred fifty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3079 3290 6158 6580 12316 15395 21553 30790 43106 61580 86212 107765 144713 215530 289426 431060 578852 723565 1012991 1447130 2025982 2894260 4051964 5064955 10129910 20259820