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864069440 = 26513207709
BaseRepresentation
bin110011100000001…
…010011101000000
32020012220021102212
4303200022131000
53232200210230
6221424001252
730261316613
oct6340123500
92205807385
10864069440
11403821183
12201460228
1310a0261c0
1482a8617a
1550cd0895
hex3380a740

864069440 has 56 divisors (see below), whose sum is σ = 2215850280. Its totient is φ = 319039488.

The previous prime is 864069377. The next prime is 864069457. The reversal of 864069440 is 44960468.

It can be written as a sum of positive squares in 4 ways, for example, as 136796416 + 727273024 = 11696^2 + 26968^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99695 + ... + 108014.

It is an arithmetic number, because the mean of its divisors is an integer number (39568755).

Almost surely, 2864069440 is an apocalyptic number.

864069440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864069440 is an abundant number, since it is smaller than the sum of its proper divisors (1351780840).

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

864069440 is a wasteful number, since it uses less digits than its factorization.

864069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207739 (or 207729 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 864069440 is about 29395.0580880528. The cubic root of 864069440 is about 952.4661464995.

The spelling of 864069440 in words is "eight hundred sixty-four million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 207709 415418 830836 1038545 1661672 2077090 2700217 3323344 4154180 5400434 6646688 8308360 10800868 13293376 13501085 16616720 21601736 27002170 33233440 43203472 54004340 66466880 86406944 108008680 172813888 216017360 432034720 864069440