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523380 = 2235111361
BaseRepresentation
bin1111111110001110100
3222120221110
41333301310
5113222010
615115020
74306614
oct1776164
9876843
10523380
11328250
12212a70
131542c0
14d8a44
15a5120
hex7fc74

523380 has 96 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 115200.

The previous prime is 523357. The next prime is 523387. The reversal of 523380 is 83325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523387) by changing a digit.

523380 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 8550 + ... + 8610.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2523380 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 523380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944).

523380 is an abundant number, since it is smaller than the sum of its proper divisors (1226508).

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

523380 is a wasteful number, since it uses less digits than its factorization.

523380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 523380 is about 723.4500673854. The cubic root of 523380 is about 80.5883704772.

It can be divided in two parts, 523 and 380, that added together give a triangular number (903 = T42).

The spelling of 523380 in words is "five hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 61 65 66 78 110 122 130 132 143 156 165 183 195 220 244 260 286 305 330 366 390 429 572 610 660 671 715 732 780 793 858 915 1220 1342 1430 1586 1716 1830 2013 2145 2379 2684 2860 3172 3355 3660 3965 4026 4290 4758 6710 7930 8052 8580 8723 9516 10065 11895 13420 15860 17446 20130 23790 26169 34892 40260 43615 47580 52338 87230 104676 130845 174460 261690 523380