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523104540 = 223573140177
BaseRepresentation
bin11111001011011…
…111000100011100
31100110022110112020
4133023133010130
52032403321130
6123523540140
715651213060
oct3713370434
91313273466
10523104540
11249308202
1212722a650
13844b461a
144d68baa0
1530dcde10
hex1f2df11c

523104540 has 96 divisors (see below), whose sum is σ = 1727975424. Its totient is φ = 115706880.

The previous prime is 523104529. The next prime is 523104563. The reversal of 523104540 is 45401325.

523104540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5231045402 = 547276719537223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 523104540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7069 + ... + 33108.

It is an arithmetic number, because the mean of its divisors is an integer number (17999744).

Almost surely, 2523104540 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 523104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863987712).

523104540 is an abundant number, since it is smaller than the sum of its proper divisors (1204870884).

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

523104540 is a wasteful number, since it uses less digits than its factorization.

523104540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40227 (or 40225 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 523104540 is about 22871.4787453719. The cubic root of 523104540 is about 805.7422984756.

Adding to 523104540 its reverse (45401325), we get a palindrome (568505865).

The spelling of 523104540 in words is "five hundred twenty-three million, one hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 40177 80354 120531 160708 200885 241062 281239 401770 482124 562478 602655 803540 843717 1124956 1205310 1245487 1406195 1687434 2410620 2490974 2812390 3374868 3736461 4218585 4981948 5624780 6227435 7472922 8437170 8718409 12454870 14945844 16874340 17436818 18682305 24909740 26155227 34873636 37364610 43592045 52310454 74729220 87184090 104620908 130776135 174368180 261552270 523104540