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20585520 = 2432528591
BaseRepresentation
bin100111010000…
…1110000110000
31102201212000200
41032201300300
520232214040
62013115200
7336655044
oct116416060
942655020
1020585520
111069022a
126a88b00
134359aa7
142a3c024
151c19630
hex13a1c30

20585520 has 60 divisors (see below), whose sum is σ = 69135456. Its totient is φ = 5489280.

The previous prime is 20585507. The next prime is 20585533. The reversal of 20585520 is 2558502.

It is an interprime number because it is at equal distance from previous prime (20585507) and next prime (20585533).

It is a tau number, because it is divible by the number of its divisors (60).

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, 13576 + ... + 15015.

Almost surely, 220585520 is an apocalyptic number.

20585520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20585520 is an abundant number, since it is smaller than the sum of its proper divisors (48549936).

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

20585520 is a wasteful number, since it uses less digits than its factorization.

20585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28610 (or 28601 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 20585520 is about 4537.1268441603. The cubic root of 20585520 is about 274.0652339040.

The spelling of 20585520 in words is "twenty million, five hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28591 57182 85773 114364 142955 171546 228728 257319 285910 343092 428865 457456 514638 571820 686184 857730 1029276 1143640 1286595 1372368 1715460 2058552 2287280 2573190 3430920 4117104 5146380 6861840 10292760 20585520