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20517520 = 245256469
BaseRepresentation
bin100111001000…
…1001010010000
31102121101202011
41032101022100
520223030040
62011432304
7336252562
oct116211220
942541664
1020517520
1110644131
126a55694
134334b5a
142a21332
151c043ea
hex1391290

20517520 has 20 divisors (see below), whose sum is σ = 47703420. Its totient is φ = 8206976.

The previous prime is 20517503. The next prime is 20517527. The reversal of 20517520 is 2571502.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 5400976 = 3888^2 + 2324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 20517491 and 20517500.

It is not an unprimeable number, because it can be changed into a prime (20517527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128155 + ... + 128314.

It is an arithmetic number, because the mean of its divisors is an integer number (2385171).

Almost surely, 220517520 is an apocalyptic number.

20517520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20517520 is an abundant number, since it is smaller than the sum of its proper divisors (27185900).

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

20517520 is a wasteful number, since it uses less digits than its factorization.

20517520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256482 (or 256476 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 20517520 is about 4529.6269162040. The cubic root of 20517520 is about 273.7631284405.

The spelling of 20517520 in words is "twenty million, five hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 256469 512938 1025876 1282345 2051752 2564690 4103504 5129380 10258760 20517520