Search a number
-
+
890076 = 223112613
BaseRepresentation
bin11011001010011011100
31200012221210
43121103130
5211440301
631024420
710364655
oct3312334
91605853
10890076
11558800
1236b110
13252195
1419252c
15128ad6
hexd94dc

890076 has 36 divisors (see below), whose sum is σ = 2286536. Its totient is φ = 269280.

The previous prime is 890063. The next prime is 890083. The reversal of 890076 is 670098.

It is a happy number.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890076.

It is an unprimeable number.

890076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 1758.

2890076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143268).

890076 is an abundant number, since it is smaller than the sum of its proper divisors (1396460).

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

890076 is a wasteful number, since it uses less digits than its factorization.

890076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 890076 is about 943.4383922652. The cubic root of 890076 is about 96.1927550758.

The spelling of 890076 in words is "eight hundred ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 613 726 1226 1452 1839 2452 3678 6743 7356 13486 20229 26972 40458 74173 80916 148346 222519 296692 445038 890076