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519282140 = 2251316312253
BaseRepresentation
bin11110111100111…
…001110111011100
31100012010021011212
4132330321313130
52030414012030
6123310003552
715603553046
oct3674716734
91305107155
10519282140
112471373a3
12125aa65b8
1383776850
144cd74a96
15308c6595
hex1ef39ddc

519282140 has 48 divisors (see below), whose sum is σ = 1181677728. Its totient is φ = 190543104.

The previous prime is 519282139. The next prime is 519282151. The reversal of 519282140 is 41282915.

It is a junction number, because it is equal to n+sod(n) for n = 519282097 and 519282106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36254 + ... + 48506.

It is an arithmetic number, because the mean of its divisors is an integer number (24618286).

Almost surely, 2519282140 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 519282140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590838864).

519282140 is an abundant number, since it is smaller than the sum of its proper divisors (662395588).

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

519282140 is a wasteful number, since it uses less digits than its factorization.

519282140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12438 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 519282140 is about 22787.7629441769. The cubic root of 519282140 is about 803.7749405127.

The spelling of 519282140 in words is "five hundred nineteen million, two hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8476 10595 12253 21190 24506 42380 49012 61265 122530 159289 245060 318578 637156 796445 1592890 1997239 3185780 3994478 7988956 9986195 19972390 25964107 39944780 51928214 103856428 129820535 259641070 519282140