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20580831 = 33762253
BaseRepresentation
bin100111010000…
…0100111011111
31102201121121000
41032200213133
520232041311
62013041343
7336635265
oct116404737
942647530
1020580831
1110687757
126a86253
13435790b
142a3a435
151c18056
hex13a09df

20580831 has 8 divisors (see below), whose sum is σ = 30490160. Its totient is φ = 13720536.

The previous prime is 20580827. The next prime is 20580853. The reversal of 20580831 is 13808502.

It is a happy number.

20580831 is a `hidden beast` number, since 2 + 0 + 580 + 83 + 1 = 666.

It is not a de Polignac number, because 20580831 - 22 = 20580827 is a prime.

It is a super-2 number, since 2×205808312 = 847141209301122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 762253 = 20580831 / (2 + 0 + 5 + 8 + 0 + 8 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20580795 and 20580804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20580821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381100 + ... + 381153.

It is an arithmetic number, because the mean of its divisors is an integer number (3811270).

Almost surely, 220580831 is an apocalyptic number.

20580831 is a deficient number, since it is larger than the sum of its proper divisors (9909329).

20580831 is an equidigital number, since it uses as much as digits as its factorization.

20580831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762262 (or 762256 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20580831 is about 4536.6100780208. The cubic root of 20580831 is about 274.0444233299.

The spelling of 20580831 in words is "twenty million, five hundred eighty thousand, eight hundred thirty-one".

Divisors: 1 3 9 27 762253 2286759 6860277 20580831