Search a number
-
+
2160480000 = 283547643
BaseRepresentation
bin1000000011000110…
…0100111100000000
312120120022202101210
42000301210330000
513411040330000
6554214330120
7104352530340
oct20061447400
95516282353
102160480000
11a09597668
12503659940
132857a5443
14166d10d20
15c9a12350
hex80c64f00

2160480000 has 360 divisors, whose sum is σ = 8224467328. Its totient is φ = 493056000.

The previous prime is 2160479947. The next prime is 2160480013. The reversal of 2160480000 is 840612.

2160480000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3359679 + ... + 3360321.

Almost surely, 22160480000 is an apocalyptic number.

2160480000 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 2160480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112233664).

2160480000 is an abundant number, since it is smaller than the sum of its proper divisors (6063987328).

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

2160480000 is an frugal number, since it uses more digits than its factorization.

2160480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2160480000 is about 46480.9638454282. The cubic root of 2160480000 is about 1292.7565595801.

The spelling of 2160480000 in words is "two billion, one hundred sixty million, four hundred eighty thousand".