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517410990 = 23452327773
BaseRepresentation
bin11110110101110…
…001000010101110
31100001121012110000
4132311301002232
52024424122430
6123201525130
715551630565
oct3665610256
91301535400
10517410990
11246079598
121253437a6
138326cc65
144ca08bdc
1530656e60
hex1ed710ae

517410990 has 80 divisors (see below), whose sum is σ = 1451802528. Its totient is φ = 131972544.

The previous prime is 517410977. The next prime is 517410991. The reversal of 517410990 is 99014715.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517410991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4744 + ... + 32516.

Almost surely, 2517410990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517410990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725901264).

517410990 is an abundant number, since it is smaller than the sum of its proper divisors (934391538).

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

517410990 is a wasteful number, since it uses less digits than its factorization.

517410990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27815 (or 27806 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 517410990 is about 22746.6698661584. The cubic root of 517410990 is about 802.8083538581.

It can be divided in two parts, 517410 and 990, that added together give a square (518400 = 7202).

The spelling of 517410990 in words is "five hundred seventeen million, four hundred ten thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1242 1863 2070 3105 3726 6210 9315 18630 27773 55546 83319 138865 166638 249957 277730 416595 499914 638779 749871 833190 1249785 1277558 1499742 1916337 2249613 2499570 3193895 3749355 3832674 4499226 5749011 6387790 7498710 9581685 11248065 11498022 17247033 19163370 22496130 28745055 34494066 51741099 57490110 86235165 103482198 172470330 258705495 517410990