Search a number
-
+
2061375120 = 243257317491
BaseRepresentation
bin111101011011110…
…0001011010010000
312022122211201001200
41322313201122100
513210203000440
6540314231200
7102040254000
oct17267413220
95278751050
102061375120
11968657702
12496425500
1326b0b61bc
14157ab4000
15c0e87c30
hex7ade1690

2061375120 has 480 divisors, whose sum is σ = 8565523200. Its totient is φ = 442552320.

The previous prime is 2061375097. The next prime is 2061375167. The reversal of 2061375120 is 215731602.

It is a happy number.

2061375120 is a `hidden beast` number, since 20 + 613 + 7 + 5 + 1 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4198075 + ... + 4198565.

It is an arithmetic number, because the mean of its divisors is an integer number (17844840).

Almost surely, 22061375120 is an apocalyptic number.

2061375120 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 2061375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282761600).

2061375120 is an abundant number, since it is smaller than the sum of its proper divisors (6504148080).

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

2061375120 is a wasteful number, since it uses less digits than its factorization.

2061375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2061375120 is about 45402.3691011824. The cubic root of 2061375120 is about 1272.6793866832.

The spelling of 2061375120 in words is "two billion, sixty-one million, three hundred seventy-five thousand, one hundred twenty".