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20130579 = 337432477
BaseRepresentation
bin100110011001…
…0101100010011
31101212201222000
41030302230103
520123134304
61555245043
7333051510
oct114625423
941781860
1020130579
11103aa447
1268a9783
13422a9b1
142960307
151b79939
hex1332b13

20130579 has 32 divisors (see below), whose sum is σ = 34890240. Its totient is φ = 11231136.

The previous prime is 20130577. The next prime is 20130581. The reversal of 20130579 is 97503102.

It is an interprime number because it is at equal distance from previous prime (20130577) and next prime (20130581).

It is not a de Polignac number, because 20130579 - 21 = 20130577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20130577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6889 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (1090320).

Almost surely, 220130579 is an apocalyptic number.

20130579 is a deficient number, since it is larger than the sum of its proper divisors (14759661).

20130579 is a wasteful number, since it uses less digits than its factorization.

20130579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 20130579 is about 4486.7113791729. The cubic root of 20130579 is about 272.0312238882.

The spelling of 20130579 in words is "twenty million, one hundred thirty thousand, five hundred seventy-nine".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2477 2709 7431 8127 17339 22293 52017 66879 106511 156051 319533 468153 745577 958599 2236731 2875797 6710193 20130579