Search a number
-
+
2812930120 = 23571113163431
BaseRepresentation
bin1010011110101001…
…1110100001001000
321021001000122201001
42213222132201020
521230102230440
61143042504344
7126464340310
oct24752364110
97231018631
102812930120
11121390a040
126660650b4
1335aa066c0
141c982c440
15116e40b9a
hexa7a9e848

2812930120 has 256 divisors, whose sum is σ = 8569774080. Its totient is φ = 802483200.

The previous prime is 2812930117. The next prime is 2812930121. The reversal of 2812930120 is 210392182.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2812930121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6526305 + ... + 6526735.

It is an arithmetic number, because the mean of its divisors is an integer number (33475680).

Almost surely, 22812930120 is an apocalyptic number.

2812930120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284887040).

2812930120 is an abundant number, since it is smaller than the sum of its proper divisors (5756843960).

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

2812930120 is a wasteful number, since it uses less digits than its factorization.

2812930120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2812930120 is about 53037.0636442102. The cubic root of 2812930120 is about 1411.6259967056.

The spelling of 2812930120 in words is "two billion, eight hundred twelve million, nine hundred thirty thousand, one hundred twenty".