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20814660 = 22325115637
BaseRepresentation
bin100111101100…
…1101101000100
31110011111100100
41033121231010
520312032120
62022044100
7341631066
oct117315504
943144310
1020814660
11108273a9
126b79630
13440a189
142a9b736
151c62490
hex13d9b44

20814660 has 36 divisors (see below), whose sum is σ = 63138348. Its totient is φ = 5550528.

The previous prime is 20814659. The next prime is 20814679. The reversal of 20814660 is 6641802.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 9036036 = 3432^2 + 3006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 57639 + ... + 57998.

It is an arithmetic number, because the mean of its divisors is an integer number (1753843).

Almost surely, 220814660 is an apocalyptic number.

20814660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20814660 is an abundant number, since it is smaller than the sum of its proper divisors (42323688).

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

20814660 is a wasteful number, since it uses less digits than its factorization.

20814660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115652 (or 115647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20814660 is about 4562.3086261234. The cubic root of 20814660 is about 275.0783688491.

The spelling of 20814660 in words is "twenty million, eight hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 115637 231274 346911 462548 578185 693822 1040733 1156370 1387644 1734555 2081466 2312740 3469110 4162932 5203665 6938220 10407330 20814660