Search a number
-
+
2099928 = 233591483
BaseRepresentation
bin1000000000101011011000
310221200120010
420000223120
51014144203
6113001520
723564145
oct10005330
93850503
102099928
111204786
128532a0
13586a7c
143c93cc
152b7303
hex200ad8

2099928 has 32 divisors (see below), whose sum is σ = 5342400. Its totient is φ = 687648.

The previous prime is 2099927. The next prime is 2099939. The reversal of 2099928 is 8299902.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (166950).

22099928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671200).

2099928 is an abundant number, since it is smaller than the sum of its proper divisors (3242472).

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

2099928 is a wasteful number, since it uses less digits than its factorization.

2099928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2099928 is about 1449.1128320459. The cubic root of 2099928 is about 128.0564529630.

The spelling of 2099928 in words is "two million, ninety-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 1483 2966 4449 5932 8898 11864 17796 35592 87497 174994 262491 349988 524982 699976 1049964 2099928