Search a number
-
+
830812720 = 24510385159
BaseRepresentation
bin110001100001010…
…011001000110000
32010220022122210111
4301201103020300
53200142001340
6214235111104
726405535343
oct6141231060
92126278714
10830812720
11396a76991
121b22a2494
13103180a7a
147c4aa45a
154ce11aea
hex31853230

830812720 has 20 divisors (see below), whose sum is σ = 1931639760. Its totient is φ = 332325056.

The previous prime is 830812691. The next prime is 830812727. The reversal of 830812720 is 27218038.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (830812727) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5192500 + ... + 5192659.

It is an arithmetic number, because the mean of its divisors is an integer number (96581988).

Almost surely, 2830812720 is an apocalyptic number.

830812720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830812720 is an abundant number, since it is smaller than the sum of its proper divisors (1100827040).

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

830812720 is a wasteful number, since it uses less digits than its factorization.

830812720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385172 (or 10385166 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 830812720 is about 28823.8220921515. The cubic root of 830812720 is about 940.0862754673.

The spelling of 830812720 in words is "eight hundred thirty million, eight hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10385159 20770318 41540636 51925795 83081272 103851590 166162544 207703180 415406360 830812720