Search a number
-
+
2081913600 = 283521319439
BaseRepresentation
bin111110000010111…
…0111101100000000
312101002111011120010
41330011313230000
513230432213400
6542330344520
7102406654644
oct17405675400
95332434503
102081913600
11979205558
124a128b140
13272427750
1415a6dcc24
15c2b93450
hex7c177b00

2081913600 has 432 divisors, whose sum is σ = 7806444800. Its totient is φ = 484392960.

The previous prime is 2081913599. The next prime is 2081913641. The reversal of 2081913600 is 63191802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4742181 + ... + 4742619.

Almost surely, 22081913600 is an apocalyptic number.

2081913600 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 2081913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903222400).

2081913600 is an abundant number, since it is smaller than the sum of its proper divisors (5724531200).

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

2081913600 is a wasteful number, since it uses less digits than its factorization.

2081913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2081913600 is about 45627.9914087833. The cubic root of 2081913600 is about 1276.8922000492.

The spelling of 2081913600 in words is "two billion, eighty-one million, nine hundred thirteen thousand, six hundred".