Search a number
-
+
2823969960 = 2333572174373
BaseRepresentation
bin1010100001010010…
…0101110010101000
321021210210112112000
42220110211302220
521240414014320
61144115251000
7126660230400
oct25024456250
97253715460
102823969960
11121a06a479
126698a9a60
133600a0656
141cb0a3800
15117dc1c90
hexa8525ca8

2823969960 has 768 divisors, whose sum is σ = 12026361600. Its totient is φ = 585252864.

The previous prime is 2823969959. The next prime is 2823969961. The reversal of 2823969960 is 699693282.

It is an interprime number because it is at equal distance from previous prime (2823969959) and next prime (2823969961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2823969897 and 2823969906.

It is not an unprimeable number, because it can be changed into a prime (2823969961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38684484 + ... + 38684556.

It is an arithmetic number, because the mean of its divisors is an integer number (15659325).

Almost surely, 22823969960 is an apocalyptic number.

2823969960 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 2823969960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013180800).

2823969960 is an abundant number, since it is smaller than the sum of its proper divisors (9202391640).

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

2823969960 is a wasteful number, since it uses less digits than its factorization.

2823969960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 2823969960 is about 53141.0383790155. The cubic root of 2823969960 is about 1413.4703110288.

The spelling of 2823969960 in words is "two billion, eight hundred twenty-three million, nine hundred sixty-nine thousand, nine hundred sixty".