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6864411240 = 2332519067809
BaseRepresentation
bin1100110010010011…
…01001101001101000
3122201101121012222100
412121021221221220
5103024242124430
63053052053400
7332051350521
oct63111515150
918641535870
106864411240
112a02865845
1213b6a64260
138551b16cb
14491943848
152a2984960
hex199269a68

6864411240 has 48 divisors (see below), whose sum is σ = 22309337700. Its totient is φ = 1830509568.

The previous prime is 6864411221. The next prime is 6864411247. The reversal of 6864411240 is 421144686.

It is a happy number.

6864411240 is a `hidden beast` number, since 6 + 8 + 644 + 1 + 1 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6836974596 + 27436644 = 82686^2 + 5238^2 .

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 = 6864411195 and 6864411204.

It is not an unprimeable number, because it can be changed into a prime (6864411247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9533545 + ... + 9534264.

Almost surely, 26864411240 is an apocalyptic number.

6864411240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6864411240 is an abundant number, since it is smaller than the sum of its proper divisors (15444926460).

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

6864411240 is a wasteful number, since it uses less digits than its factorization.

6864411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19067826 (or 19067819 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6864411240 is about 82851.7425284466. The cubic root of 6864411240 is about 1900.4995214775.

The spelling of 6864411240 in words is "six billion, eight hundred sixty-four million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 19067809 38135618 57203427 76271236 95339045 114406854 152542472 171610281 190678090 228813708 286017135 343220562 381356180 457627416 572034270 686441124 762712360 858051405 1144068540 1372882248 1716102810 2288137080 3432205620 6864411240