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5820215040 = 28335168409
BaseRepresentation
bin1010110101110100…
…10110111100000000
3120000121202120002000
411122322112330000
543404433340130
62401311224000
7264142003653
oct53272267400
916017676060
105820215040
1125173a5782
121165218000
13719a6ba33
143d2dad89a
15240e73260
hex15ae96f00

5820215040 has 144 divisors (see below), whose sum is σ = 20653802400. Its totient is φ = 1552048128.

The previous prime is 5820214993. The next prime is 5820215057. The reversal of 5820215040 is 405120285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×58202150402 = 67749806223684403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5820214995 and 5820215013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49645 + ... + 118764.

Almost surely, 25820215040 is an apocalyptic number.

It is an amenable number.

5820215040 is an abundant number, since it is smaller than the sum of its proper divisors (14833587360).

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

5820215040 is a wasteful number, since it uses less digits than its factorization.

5820215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168439 (or 168419 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5820215040 is about 76290.3338569179. Note that the first 3 decimals coincide. The cubic root of 5820215040 is about 1798.7867379589.

The spelling of 5820215040 in words is "five billion, eight hundred twenty million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 168409 336818 505227 673636 842045 1010454 1347272 1515681 1684090 2020908 2526135 2694544 3031362 3368180 4041816 4547043 5052270 5389088 6062724 6736360 7578405 8083632 9094086 10104540 10778176 12125448 13472720 15156810 16167264 18188172 20209080 21556352 22735215 24250896 26945440 30313620 32334528 36376344 40418160 43112704 45470430 48501792 53890880 60627240 64669056 72752688 80836320 90940860 97003584 107781760 121254480 129338112 145505376 161672640 181881720 194007168 215563520 242508960 291010752 323345280 363763440 388014336 485017920 582021504 646690560 727526880 970035840 1164043008 1455053760 1940071680 2910107520 5820215040