Search a number
-
+
2099380140 = 22335111331877
BaseRepresentation
bin111110100100001…
…1111111110101100
312102022100120011000
41331020133332230
513244420131030
6544153000300
7103011302544
oct17510377654
95368316130
102099380140
11988055410
124a70b3090
13275c31990
1415cb68324
15c4493860
hex7d21ffac

2099380140 has 384 divisors, whose sum is σ = 7929815040. Its totient is φ = 454118400.

The previous prime is 2099380139. The next prime is 2099380147. The reversal of 2099380140 is 410839902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2099380095 and 2099380104.

It is not an unprimeable number, because it can be changed into a prime (2099380147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2393382 + ... + 2394258.

It is an arithmetic number, because the mean of its divisors is an integer number (20650560).

Almost surely, 22099380140 is an apocalyptic number.

2099380140 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 2099380140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964907520).

2099380140 is an abundant number, since it is smaller than the sum of its proper divisors (5830434900).

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

2099380140 is a wasteful number, since it uses less digits than its factorization.

2099380140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2099380140 is about 45818.9932233348. The cubic root of 2099380140 is about 1280.4531557947.

The spelling of 2099380140 in words is "two billion, ninety-nine million, three hundred eighty thousand, one hundred forty".