Search a number
-
+
2111421760 = 2657217892
BaseRepresentation
bin111110111011001…
…1011110101000000
312110011000100010221
41331312123311000
513311010444020
6545303032424
7103215534400
oct17566336500
95404010127
102111421760
1199392a468
124ab13b714
132785898b6
141605c0800
15c55716aa
hex7dd9bd40

2111421760 has 252 divisors, whose sum is σ = 6263095932. Its totient is φ = 673677312.

The previous prime is 2111421751. The next prime is 2111421779. The reversal of 2111421760 is 671241112.

It can be written as a sum of positive squares in 6 ways, for example, as 134374464 + 1977047296 = 11592^2 + 44464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23723796 + ... + 23723884.

Almost surely, 22111421760 is an apocalyptic number.

2111421760 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 2111421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131547966).

2111421760 is an abundant number, since it is smaller than the sum of its proper divisors (4151674172).

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

2111421760 is an equidigital number, since it uses as much as digits as its factorization.

2111421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2111421760 is about 45950.2095751478. The cubic root of 2111421760 is about 1282.8966301079.

Adding to 2111421760 its reverse (671241112), we get a palindrome (2782662872).

The spelling of 2111421760 in words is "two billion, one hundred eleven million, four hundred twenty-one thousand, seven hundred sixty".