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20814560 = 2551310007
BaseRepresentation
bin100111101100…
…1101011100000
31110011111012122
41033121223200
520312031220
62022043412
7341630564
oct117315340
943144178
1020814560
1110827318
126b79568
13440a110
142a9b6a4
151c62425
hex13d9ae0

20814560 has 48 divisors (see below), whose sum is σ = 52962336. Its totient is φ = 7684608.

The previous prime is 20814559. The next prime is 20814581. The reversal of 20814560 is 6541802.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2924 + ... + 7083.

It is an arithmetic number, because the mean of its divisors is an integer number (1103382).

Almost surely, 220814560 is an apocalyptic number.

20814560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20814560 is an abundant number, since it is smaller than the sum of its proper divisors (32147776).

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

20814560 is a wasteful number, since it uses less digits than its factorization.

20814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 20814560 is about 4562.2976667464. The cubic root of 20814560 is about 275.0779283281.

The spelling of 20814560 in words is "twenty million, eight hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 10007 20014 40028 50035 80056 100070 130091 160112 200140 260182 320224 400280 520364 650455 800560 1040728 1300910 1601120 2081456 2601820 4162912 5203640 10407280 20814560