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520093800 = 2332521132557
BaseRepresentation
bin11111000000000…
…000000001101000
31100020122111120100
4133000000001220
52031121000200
6123335225400
715613503312
oct3700000150
91306574510
10520093800
11247641196
12126218260
138399c115
144d1067b2
15309d6d00
hex1f000068

520093800 has 144 divisors (see below), whose sum is σ = 1762794540. Its totient is φ = 137410560.

The previous prime is 520093799. The next prime is 520093831. The reversal of 520093800 is 8390025.

It can be written as a sum of positive squares in 6 ways, for example, as 40220964 + 479872836 = 6342^2 + 21906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202122 + ... + 204678.

Almost surely, 2520093800 is an apocalyptic number.

520093800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881397270).

520093800 is an abundant number, since it is smaller than the sum of its proper divisors (1242700740).

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

520093800 is a wasteful number, since it uses less digits than its factorization.

520093800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 520093800 is about 22805.5651102971. The cubic root of 520093800 is about 804.1935006154.

The spelling of 520093800 in words is "five hundred twenty million, ninety-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 300 339 360 450 452 565 600 678 900 904 1017 1130 1356 1695 1800 2034 2260 2557 2712 2825 3390 4068 4520 5085 5114 5650 6780 7671 8136 8475 10170 10228 11300 12785 13560 15342 16950 20340 20456 22600 23013 25425 25570 30684 33900 38355 40680 46026 50850 51140 61368 63925 67800 76710 92052 101700 102280 115065 127850 153420 184104 191775 203400 230130 255700 288941 306840 383550 460260 511400 575325 577882 767100 866823 920520 1150650 1155764 1444705 1534200 1733646 2301300 2311528 2600469 2889410 3467292 4334115 4602600 5200938 5778820 6934584 7223525 8668230 10401876 11557640 13002345 14447050 17336460 20803752 21670575 26004690 28894100 34672920 43341150 52009380 57788200 65011725 86682300 104018760 130023450 173364600 260046900 520093800