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864440060 = 2251125715289
BaseRepresentation
bin110011100001100…
…100111011111100
32020020121002211112
4303201210323330
53232244040220
6221435541152
730264422261
oct6341447374
92206532745
10864440060
11403a54680
122015ba7b8
1310a125ac3
1482b41268
1550d555c5
hex33864efc

864440060 has 48 divisors (see below), whose sum is σ = 1988189280. Its totient is φ = 313098240.

The previous prime is 864440029. The next prime is 864440081. The reversal of 864440060 is 60044468.

It is a junction number, because it is equal to n+sod(n) for n = 864439999 and 864440026.

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 15 ways as a sum of consecutive naturals, for example, 48896 + ... + 64184.

It is an arithmetic number, because the mean of its divisors is an integer number (41420610).

Almost surely, 2864440060 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 864440060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994094640).

864440060 is an abundant number, since it is smaller than the sum of its proper divisors (1123749220).

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

864440060 is a wasteful number, since it uses less digits than its factorization.

864440060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15566 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 864440060 is about 29401.3615330991. The cubic root of 864440060 is about 952.6023055196.

The spelling of 864440060 in words is "eight hundred sixty-four million, four hundred forty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2570 2827 5140 5654 11308 14135 15289 28270 30578 56540 61156 76445 152890 168179 305780 336358 672716 840895 1681790 3363580 3929273 7858546 15717092 19646365 39292730 43222003 78585460 86444006 172888012 216110015 432220030 864440060