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863058240 = 26355111009
BaseRepresentation
bin110011011100010…
…011100101000000
32020010222220100000
4303130103211000
53231420330430
6221350200000
730246605532
oct6334234500
92203886300
10863058240
114031a0480
12201053000
13109a60b65
14828a1852
1550b80e60
hex33713940

863058240 has 336 divisors, whose sum is σ = 3361700160. Its totient is φ = 209018880.

The previous prime is 863058239. The next prime is 863058257. The reversal of 863058240 is 42850368.

863058240 is a `hidden beast` number, since 8 + 6 + 30 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 863058195 and 863058204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854856 + ... + 855864.

It is an arithmetic number, because the mean of its divisors is an integer number (10005060).

Almost surely, 2863058240 is an apocalyptic number.

863058240 is a gapful number since it is divisible by the number (80) 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 863058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680850080).

863058240 is an abundant number, since it is smaller than the sum of its proper divisors (2498641920).

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

863058240 is a wasteful number, since it uses less digits than its factorization.

863058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 863058240 is about 29377.8528827414. The cubic root of 863058240 is about 952.0944519427.

The spelling of 863058240 in words is "eight hundred sixty-three million, fifty-eight thousand, two hundred forty".