Search a number
-
+
2190120660 = 2233572136367
BaseRepresentation
bin1000001010001010…
…1001011011010100
312122122002122202000
42002202221123110
513441132330120
61001153515300
7105162501300
oct20242513324
95578078660
102190120660
11a242a2082
12511572b30
1328b9829b0
1416ac28d00
15cc419990
hex828a96d4

2190120660 has 288 divisors, whose sum is σ = 8537195520. Its totient is φ = 462018816.

The previous prime is 2190120623. The next prime is 2190120679. The reversal of 2190120660 is 660210912.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340797 + ... + 347163.

It is an arithmetic number, because the mean of its divisors is an integer number (29643040).

Almost surely, 22190120660 is an apocalyptic number.

2190120660 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 2190120660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268597760).

2190120660 is an abundant number, since it is smaller than the sum of its proper divisors (6347074860).

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

2190120660 is a wasteful number, since it uses less digits than its factorization.

2190120660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6397 counting only the distinct ones).

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

The square root of 2190120660 is about 46798.7249826317. The cubic root of 2190120660 is about 1298.6417095047.

The spelling of 2190120660 in words is "two billion, one hundred ninety million, one hundred twenty thousand, six hundred sixty".