Search a number
-
+
1411320960 = 273257172971
BaseRepresentation
bin101010000011111…
…0000110010000000
310122100122112101200
41110013300302000
510342244232320
6352013301200
746655013240
oct12407606200
93570575350
101411320960
11664721365
12334794800
1319651367a
14d561bb20
1583d7e290
hex541f0c80

1411320960 has 768 divisors, whose sum is σ = 6186585600. Its totient is φ = 289013760.

The previous prime is 1411320959. The next prime is 1411320979. The reversal of 1411320960 is 690231141.

It is a super-3 number, since 3×14113209603 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19877725 + ... + 19877795.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 21411320960 is an apocalyptic number.

1411320960 is a gapful number since it is divisible by the number (10) 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 1411320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093292800).

1411320960 is an abundant number, since it is smaller than the sum of its proper divisors (4775264640).

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

1411320960 is a wasteful number, since it uses less digits than its factorization.

1411320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1411320960 is about 37567.5519564424. The cubic root of 1411320960 is about 1121.6962392736.

The spelling of 1411320960 in words is "one billion, four hundred eleven million, three hundred twenty thousand, nine hundred sixty".