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517680515 = 51117896221
BaseRepresentation
bin11110110110110…
…010110110000011
31100002002220011102
4132312302312003
52030011234030
6123211405015
715554132432
oct3666626603
91302086142
10517680515
11246243040
1212545376b
1383335841
144ca79119
15306abc45
hex1edb2d83

517680515 has 32 divisors (see below), whose sum is σ = 725734080. Its totient is φ = 350310400.

The previous prime is 517680503. The next prime is 517680523. The reversal of 517680515 is 515086715.

It is a happy number.

It is not a de Polignac number, because 517680515 - 214 = 517664131 is a prime.

It is a super-2 number, since 2×5176805152 = 535986231221330450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80105 + ... + 86325.

It is an arithmetic number, because the mean of its divisors is an integer number (22679190).

Almost surely, 2517680515 is an apocalyptic number.

517680515 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

517680515 is a deficient number, since it is larger than the sum of its proper divisors (208053565).

517680515 is a wasteful number, since it uses less digits than its factorization.

517680515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343.

The product of its (nonzero) digits is 42000, while the sum is 38.

The square root of 517680515 is about 22752.5935884242. The cubic root of 517680515 is about 802.9477268553.

The spelling of 517680515 in words is "five hundred seventeen million, six hundred eighty thousand, five hundred fifteen".

Divisors: 1 5 11 17 55 85 89 187 445 935 979 1513 4895 6221 7565 16643 31105 68431 83215 105757 342155 528785 553669 1163327 2768345 5816635 6090359 9412373 30451795 47061865 103536103 517680515