Search a number
-
+
3088992960 = 2632510091063
BaseRepresentation
bin1011100000011110…
…0100101011000000
321222021111002201200
42320013210223000
522311240233320
61230303501200
7136356002244
oct27007445300
97867432650
103088992960
111345724149
127225b7800
133a2c72cb1
14214370424
151312c2290
hexb81e4ac0

3088992960 has 168 divisors, whose sum is σ = 10645383840. Its totient is φ = 822140928.

The previous prime is 3088992911. The next prime is 3088992961. The reversal of 3088992960 is 692998803.

It is a junction number, because it is equal to n+sod(n) for n = 3088992897 and 3088992906.

It is not an unprimeable number, because it can be changed into a prime (3088992961) 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 23 ways as a sum of consecutive naturals, for example, 2905389 + ... + 2906451.

It is an arithmetic number, because the mean of its divisors is an integer number (63365380).

Almost surely, 23088992960 is an apocalyptic number.

3088992960 is a gapful number since it is divisible by the number (30) 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 3088992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322691920).

3088992960 is an abundant number, since it is smaller than the sum of its proper divisors (7556390880).

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

3088992960 is a wasteful number, since it uses less digits than its factorization.

3088992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3088992960 is about 55578.7095927928. The cubic root of 3088992960 is about 1456.3719514245.

The spelling of 3088992960 in words is "three billion, eighty-eight million, nine hundred ninety-two thousand, nine hundred sixty".