Search a number
-
+
2585034 = 238197
BaseRepresentation
bin1001110111000111001010
311212100000000
421313013022
51130210114
6131223430
730654354
oct11670712
94770000
102585034
1115061a1
12a47b76
136c680a
144b40d4
15360e09
hex2771ca

2585034 has 36 divisors (see below), whose sum is σ = 5845554. Its totient is φ = 857304.

The previous prime is 2585029. The next prime is 2585041. The reversal of 2585034 is 4305852.

It can be written as a sum of positive squares in only one way, i.e., 1476225 + 1108809 = 1215^2 + 1053^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 2584989 and 2585007.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13024 + ... + 13220.

22585034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922777).

2585034 is an abundant number, since it is smaller than the sum of its proper divisors (3260520).

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

2585034 is an frugal number, since it uses more digits than its factorization.

2585034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2585034 is about 1607.8040925436. The cubic root of 2585034 is about 137.2425419221.

The spelling of 2585034 in words is "two million, five hundred eighty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 729 1182 1458 1773 2187 3546 4374 5319 6561 10638 13122 15957 31914 47871 95742 143613 287226 430839 861678 1292517 2585034