Search a number
-
+
2389830 = 235372153
BaseRepresentation
bin1001000111011101000110
311111102020020
421013131012
51102433310
6123120010
726212302
oct11073506
94442206
102389830
111392573
12973006
13658a01
14462d02
15323170
hex247746

2389830 has 32 divisors (see below), whose sum is σ = 5893344. Its totient is φ = 619776.

The previous prime is 2389813. The next prime is 2389831. The reversal of 2389830 is 389832.

2389830 is nontrivially palindromic in base 4.

2389830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23898302 = 11422574857800, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2389791 and 2389800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (184167).

22389830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2389830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946672).

2389830 is an abundant number, since it is smaller than the sum of its proper divisors (3503514).

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

2389830 is a wasteful number, since it uses less digits than its factorization.

2389830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2389830 is about 1545.9075004670. The cubic root of 2389830 is about 133.6972074527.

The spelling of 2389830 in words is "two million, three hundred eighty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2153 4306 6459 10765 12918 21530 32295 64590 79661 159322 238983 398305 477966 796610 1194915 2389830