Search a number
-
+
2123823 = 31325971
BaseRepresentation
bin1000000110100000101111
310222220100010
420012200233
51020430243
6113304303
724023622
oct10064057
93886303
102123823
111220729
12865093
13594900
143d3db9
152be433
hex20682f

2123823 has 24 divisors (see below), whose sum is σ = 3162240. Its totient is φ = 1266720.

The previous prime is 2123791. The next prime is 2123831. The reversal of 2123823 is 3283212.

It is not a de Polignac number, because 2123823 - 25 = 2123791 is a prime.

It is a d-powerful number, because it can be written as 210 + 1 + 212 + 33 + 82 + 219 + 313 .

It is a self number, because there is not a number n which added to its sum of digits gives 2123823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29878 + ... + 29948.

It is an arithmetic number, because the mean of its divisors is an integer number (131760).

22123823 is an apocalyptic number.

2123823 is a deficient number, since it is larger than the sum of its proper divisors (1038417).

2123823 is a wasteful number, since it uses less digits than its factorization.

2123823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2123823 is about 1457.3342101248. The cubic root of 2123823 is about 128.5403386909.

The spelling of 2123823 in words is "two million, one hundred twenty-three thousand, eight hundred twenty-three".

Divisors: 1 3 13 39 59 71 169 177 213 507 767 923 2301 2769 4189 9971 11999 12567 29913 35997 54457 163371 707941 2123823