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5859253140 = 22351310697027
BaseRepresentation
bin1010111010011110…
…10001101110010100
3120010100012220021120
411131033101232110
543444432100030
62405224043540
7265124554446
oct53517215624
916110186246
105859253140
112537439674
1211763035b0
13724b897c0
143d8252496
152445d5010
hex15d3d1b94

5859253140 has 96 divisors (see below), whose sum is σ = 17686945920. Its totient is φ = 1440723456.

The previous prime is 5859253139. The next prime is 5859253157. The reversal of 5859253140 is 413529585.

It is a junction number, because it is equal to n+sod(n) for n = 5859253092 and 5859253101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830307 + ... + 837333.

It is an arithmetic number, because the mean of its divisors is an integer number (184239020).

Almost surely, 25859253140 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 5859253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843472960).

5859253140 is an abundant number, since it is smaller than the sum of its proper divisors (11827692780).

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

5859253140 is a wasteful number, since it uses less digits than its factorization.

5859253140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 5859253140 is about 76545.7584716488. The cubic root of 5859253140 is about 1802.7994648397.

The spelling of 5859253140 in words is "five billion, eight hundred fifty-nine million, two hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1069 2138 3207 4276 5345 6414 7027 10690 12828 13897 14054 16035 21081 21380 27794 28108 32070 35135 41691 42162 55588 64140 69485 70270 83382 84324 91351 105405 138970 140540 166764 182702 208455 210810 274053 277940 365404 416910 421620 456755 548106 833820 913510 1096212 1370265 1827020 2740530 5481060 7511863 15023726 22535589 30047452 37559315 45071178 75118630 90142356 97654219 112677945 150237260 195308438 225355890 292962657 390616876 450711780 488271095 585925314 976542190 1171850628 1464813285 1953084380 2929626570 5859253140