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20257024 = 28531493
BaseRepresentation
bin100110101000…
…1100100000000
31102010011102011
41031101210000
520141211044
62002102304
7334116244
oct115214400
942104364
1020257024
1110486447
12694a994
134273408
142994424
151ba2134
hex1351900

20257024 has 36 divisors (see below), whose sum is σ = 41225436. Its totient is φ = 9930752.

The previous prime is 20256967. The next prime is 20257067. The reversal of 20257024 is 42075202.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 4000000 = 4032^2 + 2000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20256986 and 20257004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12822 + ... + 14314.

It is an arithmetic number, because the mean of its divisors is an integer number (1145151).

Almost surely, 220257024 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 20257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612718).

20257024 is an abundant number, since it is smaller than the sum of its proper divisors (20968412).

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

20257024 is an equidigital number, since it uses as much as digits as its factorization.

20257024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 20257024 is about 4500.7803767791. The cubic root of 20257024 is about 272.5995999856.

The spelling of 20257024 in words is "twenty million, two hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1493 1696 2986 3392 5972 6784 11944 13568 23888 47776 79129 95552 158258 191104 316516 382208 633032 1266064 2532128 5064256 10128512 20257024