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518130096 = 243116116087
BaseRepresentation
bin11110111000100…
…000100110110000
31100002221201212120
4132320200212300
52030120130341
6123225154240
715561014241
oct3670404660
91302851776
10518130096
1124651a8a0
1212562b980
1383462373
144cb54cc8
153074a066
hex1ee209b0

518130096 has 80 divisors (see below), whose sum is σ = 1484214528. Its totient is φ = 154425600.

The previous prime is 518130077. The next prime is 518130121. The reversal of 518130096 is 690031815.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 24165 + ... + 40251.

Almost surely, 2518130096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518130096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742107264).

518130096 is an abundant number, since it is smaller than the sum of its proper divisors (966084432).

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

518130096 is a wasteful number, since it uses less digits than its factorization.

518130096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 518130096 is about 22762.4712190922. The cubic root of 518130096 is about 803.1801002858.

The spelling of 518130096 in words is "five hundred eighteen million, one hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 4026 5368 8052 10736 16087 16104 32174 32208 48261 64348 96522 128696 176957 193044 257392 353914 386088 530871 707828 772176 981307 1061742 1415656 1962614 2123484 2831312 2943921 3925228 4246968 5887842 7850456 8493936 10794377 11775684 15700912 21588754 23551368 32383131 43177508 47102736 64766262 86355016 129532524 172710032 259065048 518130096