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890082 = 23353311
BaseRepresentation
bin11011001010011100010
31200012222000
43121103202
5211440312
631024430
710364664
oct3312342
91605860
10890082
11558806
1236b116
1325219b
14192534
15128adc
hexd94e2

890082 has 32 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 290160.

The previous prime is 890063. The next prime is 890083. The reversal of 890082 is 280098.

890082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890082.

It is not an unprimeable number, because it can be changed into a prime (890083) by changing a digit.

890082 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2890082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

890082 is an abundant number, since it is smaller than the sum of its proper divisors (1131678).

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

890082 is a wasteful number, since it uses less digits than its factorization.

890082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 890082 is about 943.4415721177. The cubic root of 890082 is about 96.1929712204.

The spelling of 890082 in words is "eight hundred ninety thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 311 318 477 622 933 954 1431 1866 2799 2862 5598 8397 16483 16794 32966 49449 98898 148347 296694 445041 890082