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520695040 = 2851723929
BaseRepresentation
bin11111000010010…
…010110100000000
31100021210001022111
4133002102310000
52031244220130
6123400145104
715621556225
oct3702226400
91307701274
10520695040
11247a11988
12126468194
1383b4c998
144d22194c
1530aa502a
hex1f092d00

520695040 has 72 divisors (see below), whose sum is σ = 1320648840. Its totient is φ = 196018176.

The previous prime is 520694983. The next prime is 520695059. The reversal of 520695040 is 40596025.

It can be written as a sum of positive squares in 4 ways, for example, as 150209536 + 370485504 = 12256^2 + 19248^2 .

It is a super-2 number, since 2×5206950402 = 542246649361203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 520694993 and 520695011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9796 + ... + 33724.

It is an arithmetic number, because the mean of its divisors is an integer number (18342345).

Almost surely, 2520695040 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 520695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660324420).

520695040 is an abundant number, since it is smaller than the sum of its proper divisors (799953800).

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

520695040 is a wasteful number, since it uses less digits than its factorization.

520695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23967 (or 23953 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 520695040 is about 22818.7431731022. The cubic root of 520695040 is about 804.5032698035.

The spelling of 520695040 in words is "five hundred twenty million, six hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 23929 47858 95716 119645 191432 239290 382864 406793 478580 765728 813586 957160 1531456 1627172 1914320 2033965 3062912 3254344 3828640 4067930 6125824 6508688 7657280 8135860 13017376 15314560 16271720 26034752 30629120 32543440 52069504 65086880 104139008 130173760 260347520 520695040