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20257056 = 2532371901
BaseRepresentation
bin100110101000…
…1100100100000
31102010011110100
41031101210200
520141211211
62002102400
7334116321
oct115214440
942104410
1020257056
1110486476
12694aa00
134273431
142994448
151ba2156
hex1351920

20257056 has 72 divisors (see below), whose sum is σ = 59194044. Its totient is φ = 6566400.

The previous prime is 20256967. The next prime is 20257067. The reversal of 20257056 is 65075202.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 7056 = 4500^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9706 + ... + 11606.

Almost surely, 220257056 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 20257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29597022).

20257056 is an abundant number, since it is smaller than the sum of its proper divisors (38936988).

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

20257056 is a wasteful number, since it uses less digits than its factorization.

20257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20257056 is about 4500.7839317168. The cubic root of 20257056 is about 272.5997435273.

It can be divided in two parts, 2025 and 7056, that multiplied together give a square (14288400 = 37802).

The spelling of 20257056 in words is "twenty million, two hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 1901 2664 3552 3802 5328 5703 7604 10656 11406 15208 17109 22812 30416 34218 45624 60832 68436 70337 91248 136872 140674 182496 211011 273744 281348 422022 547488 562696 633033 844044 1125392 1266066 1688088 2250784 2532132 3376176 5064264 6752352 10128528 20257056