Search a number
-
+
2099160 = 233257317
BaseRepresentation
bin1000000000011111011000
310221122111200
420000133120
51014133120
6112554200
723562000
oct10003730
93848450
102099160
111204148
12852960
1358660b
143c9000
152b6e90
hex2007d8

2099160 has 192 divisors, whose sum is σ = 8424000. Its totient is φ = 451584.

The previous prime is 2099147. The next prime is 2099179. The reversal of 2099160 is 619902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123472 + ... + 123488.

It is an arithmetic number, because the mean of its divisors is an integer number (43875).

22099160 is an apocalyptic number.

2099160 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 2099160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212000).

2099160 is an abundant number, since it is smaller than the sum of its proper divisors (6324840).

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

2099160 is a wasteful number, since it uses less digits than its factorization.

2099160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2099160 is about 1448.8478180955. The cubic root of 2099160 is about 128.0408398328.

The spelling of 2099160 in words is "two million, ninety-nine thousand, one hundred sixty".