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864010720 = 25517317651
BaseRepresentation
bin110011011111111…
…100000111100000
32020012210021220001
4303133330013200
53232141320340
6221422425344
730260653456
oct6337740740
92205707801
10864010720
11403791051
12201432254
1310a005561
1482a6c9d6
1550cbd29a
hex337fc1e0

864010720 has 48 divisors (see below), whose sum is σ = 2161304208. Its totient is φ = 325273600.

The previous prime is 864010711. The next prime is 864010733. The reversal of 864010720 is 27010468.

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 7 ways as a sum of consecutive naturals, for example, 156106 + ... + 161545.

It is an arithmetic number, because the mean of its divisors is an integer number (45027171).

Almost surely, 2864010720 is an apocalyptic number.

864010720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864010720 is an abundant number, since it is smaller than the sum of its proper divisors (1297293488).

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

864010720 is a wasteful number, since it uses less digits than its factorization.

864010720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317683 (or 317675 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 864010720 is about 29394.0592637356. The cubic root of 864010720 is about 952.4445702709. Note that the first 3 decimals are identical.

The spelling of 864010720 in words is "eight hundred sixty-four million, ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 317651 635302 1270604 1588255 2541208 3176510 5082416 5400067 6353020 10164832 10800134 12706040 21600268 25412080 27000335 43200536 50824160 54000670 86401072 108001340 172802144 216002680 432005360 864010720