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20579427 = 35117699
BaseRepresentation
bin100111010000…
…0010001100011
31102201112200000
41032200101203
520232020202
62013031043
7336631221
oct116402143
942645600
1020579427
11106866a0
126a85483
13435709b
142a39b11
151c1791c
hex13a0463

20579427 has 24 divisors (see below), whose sum is σ = 33633600. Its totient is φ = 12470760.

The previous prime is 20579407. The next prime is 20579431. The reversal of 20579427 is 72497502.

It is not a de Polignac number, because 20579427 - 211 = 20577379 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20579391 and 20579400.

It is not an unprimeable number, because it can be changed into a prime (20579407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177 + ... + 6522.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

Almost surely, 220579427 is an apocalyptic number.

20579427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20579427 is a deficient number, since it is larger than the sum of its proper divisors (13054173).

20579427 is an equidigital number, since it uses as much as digits as its factorization.

20579427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20579427 is about 4536.4553342891. The cubic root of 20579427 is about 274.0381915258.

The spelling of 20579427 in words is "twenty million, five hundred seventy-nine thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 7699 23097 69291 84689 207873 254067 623619 762201 1870857 2286603 6859809 20579427