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527916140 = 2251912710939
BaseRepresentation
bin11111011101110…
…101110001101100
31100210100220210122
4133131311301230
52040121304030
6124215024112
716040133053
oct3735656154
91323326718
10527916140
11250aa4234
1212896b038
13854aa71b
145018139a
153152e8e5
hex1f775c6c

527916140 has 48 divisors (see below), whose sum is σ = 1176268800. Its totient is φ = 198459072.

The previous prime is 527916133. The next prime is 527916163. The reversal of 527916140 is 41619725.

It is a self number, because there is not a number n which added to its sum of digits gives 527916140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42791 + ... + 53729.

It is an arithmetic number, because the mean of its divisors is an integer number (24505600).

Almost surely, 2527916140 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 527916140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588134400).

527916140 is an abundant number, since it is smaller than the sum of its proper divisors (648352660).

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

527916140 is a wasteful number, since it uses less digits than its factorization.

527916140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 527916140 is about 22976.4257446627. The cubic root of 527916140 is about 808.2052116583.

The spelling of 527916140 in words is "five hundred twenty-seven million, nine hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 380 508 635 1270 2413 2540 4826 9652 10939 12065 21878 24130 43756 48260 54695 109390 207841 218780 415682 831364 1039205 1389253 2078410 2778506 4156820 5557012 6946265 13892530 26395807 27785060 52791614 105583228 131979035 263958070 527916140