Search a number
-
+
10320566040 = 23325171686367
BaseRepresentation
bin10011001110010011…
…10101011100011000
3222122020222002001200
421213021311130120
5132114031103130
64424033314200
7513516235551
oct114711653430
928566862050
1010320566040
114416766024
122000405960
13c86239215
146dc96b328
154060d0760
hex267275718

10320566040 has 96 divisors (see below), whose sum is σ = 35514910080. Its totient is φ = 2590258176.

The previous prime is 10320565999. The next prime is 10320566077. The reversal of 10320566040 is 4066502301.

10320566040 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 56 + 604 + 0 = 666.

10320566040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10320565995 and 10320566013.

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 23 ways as a sum of consecutive naturals, for example, 837064 + ... + 849303.

It is an arithmetic number, because the mean of its divisors is an integer number (369946980).

Almost surely, 210320566040 is an apocalyptic number.

10320566040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320566040 is an abundant number, since it is smaller than the sum of its proper divisors (25194344040).

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

10320566040 is a wasteful number, since it uses less digits than its factorization.

10320566040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686401 (or 1686394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10320566040 in words is "ten billion, three hundred twenty million, five hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 1686367 3372734 5059101 6745468 8431835 10118202 13490936 15177303 16863670 20236404 25295505 28668239 30354606 33727340 40472808 50591010 57336478 60709212 67454680 75886515 86004717 101182020 114672956 121418424 143341195 151773030 172009434 202364040 229345912 258014151 286682390 303546060 344018868 430023585 516028302 573364780 607092120 688037736 860047170 1032056604 1146729560 1290070755 1720094340 2064113208 2580141510 3440188680 5160283020 10320566040