Search a number
-
+
2046720000 = 2113541341
BaseRepresentation
bin111100111111110…
…0111100000000000
312021122021011000110
41321333213200000
513142430020000
6535032151320
7101501555463
oct17177474000
95248234013
102046720000
11960358036
12491538540
13268054830
14155b7b2da
15bea40850
hex79fe7800

2046720000 has 480 divisors, whose sum is σ = 7522154640. Its totient is φ = 491520000.

The previous prime is 2046719963. The next prime is 2046720019. The reversal of 2046720000 is 276402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49919980 + ... + 49920020.

Almost surely, 22046720000 is an apocalyptic number.

2046720000 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 2046720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761077320).

2046720000 is an abundant number, since it is smaller than the sum of its proper divisors (5475434640).

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

2046720000 is an equidigital number, since it uses as much as digits as its factorization.

2046720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2046720000 is about 45240.6896499158. The cubic root of 2046720000 is about 1269.6562195953.

Adding to 2046720000 its reverse (276402), we get a palindrome (2046996402).

The spelling of 2046720000 in words is "two billion, forty-six million, seven hundred twenty thousand".