Search a number
-
+
2119939440 = 24351719232941
BaseRepresentation
bin111111001011011…
…1011010101110000
312110202001002012120
41332112323111300
513320201030230
6550205354240
7103351121313
oct17626732560
95422032176
102119939440
11998717973
124b1b68980
1327a27c848
1416179a97a
15c61a5310
hex7e5bb570

2119939440 has 640 divisors, whose sum is σ = 8099481600. Its totient is φ = 454164480.

The previous prime is 2119939397. The next prime is 2119939441. The reversal of 2119939440 is 449399112.

It is a junction number, because it is equal to n+sod(n) for n = 2119939392 and 2119939401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119939441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51705820 + ... + 51705860.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 22119939440 is an apocalyptic number.

2119939440 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 2119939440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2119939440 is an abundant number, since it is smaller than the sum of its proper divisors (5979542160).

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

2119939440 is a wasteful number, since it uses less digits than its factorization.

2119939440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 2119939440 is about 46042.8000886132. The cubic root of 2119939440 is about 1284.6194253172.

The spelling of 2119939440 in words is "two billion, one hundred nineteen million, nine hundred thirty-nine thousand, four hundred forty".