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890089 = 7389137
BaseRepresentation
bin11011001010011101001
31200012222021
43121103221
5211440324
631024441
710365004
oct3312351
91605867
10890089
11558812
1236b121
132521a5
1419253b
15128ae4
hexd94e9

890089 has 8 divisors (see below), whose sum is σ = 919080. Its totient is φ = 861696.

The previous prime is 890083. The next prime is 890107. The reversal of 890089 is 980098.

It can be written as a sum of positive squares in 4 ways, for example, as 80089 + 810000 = 283^2 + 900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 890089 - 213 = 881897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890083) 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 7 ways as a sum of consecutive naturals, for example, 6429 + ... + 6565.

It is an arithmetic number, because the mean of its divisors is an integer number (114885).

2890089 is an apocalyptic number.

890089 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

890089 is a deficient number, since it is larger than the sum of its proper divisors (28991).

890089 is a wasteful number, since it uses less digits than its factorization.

890089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 890089 is about 943.4452819321. The cubic root of 890089 is about 96.1932233878.

Subtracting 890089 from its reverse (980098), we obtain a palindrome (90009).

It can be divided in two parts, 8900 and 89, that multiplied together give a square (792100 = 8902).

The spelling of 890089 in words is "eight hundred ninety thousand, eighty-nine".

Divisors: 1 73 89 137 6497 10001 12193 890089