Search a number
-
+
523405020 = 223523794801
BaseRepresentation
bin11111001100101…
…000011011011100
31100110212201201010
4133030220123130
52032442430040
6123534215220
715653604105
oct3714503334
91313781633
10523405020
112494a2a36
12127354510
138458b318
144d7293ac
1530e3ce80
hex1f3286dc

523405020 has 96 divisors (see below), whose sum is σ = 1548933120. Its totient is φ = 131788800.

The previous prime is 523405013. The next prime is 523405031. The reversal of 523405020 is 20504325.

It is a super-2 number, since 2×5234050202 = 547905629922400800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106620 + ... + 111420.

It is an arithmetic number, because the mean of its divisors is an integer number (16134720).

Almost surely, 2523405020 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 523405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774466560).

523405020 is an abundant number, since it is smaller than the sum of its proper divisors (1025528100).

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

523405020 is a wasteful number, since it uses less digits than its factorization.

523405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 523405020 is about 22878.0466823547. The cubic root of 523405020 is about 805.8965462310.

Adding to 523405020 its reverse (20504325), we get a palindrome (543909345).

The spelling of 523405020 in words is "five hundred twenty-three million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 79 92 115 138 158 230 237 276 316 345 395 460 474 690 790 948 1185 1380 1580 1817 2370 3634 4740 4801 5451 7268 9085 9602 10902 14403 18170 19204 21804 24005 27255 28806 36340 48010 54510 57612 72015 96020 109020 110423 144030 220846 288060 331269 379279 441692 552115 662538 758558 1104230 1137837 1325076 1517116 1656345 1896395 2208460 2275674 3312690 3792790 4551348 5689185 6625380 7585580 8723417 11378370 17446834 22756740 26170251 34893668 43617085 52340502 87234170 104681004 130851255 174468340 261702510 523405020