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890868 = 2231117397
BaseRepresentation
bin11011001011111110100
31200021001010
43121133310
5212001433
631032220
710400166
oct3313764
91607033
10890868
11559360
1236b670
13252654
14192936
15128e63
hexd97f4

890868 has 48 divisors (see below), whose sum is σ = 2407104. Its totient is φ = 253440.

The previous prime is 890867. The next prime is 890881. The reversal of 890868 is 868098.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046 + ... + 2442.

It is an arithmetic number, because the mean of its divisors is an integer number (50148).

2890868 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 890868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203552).

890868 is an abundant number, since it is smaller than the sum of its proper divisors (1516236).

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

890868 is a wasteful number, since it uses less digits than its factorization.

890868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 890868 is about 943.8580401734. The cubic root of 890868 is about 96.2212777625.

The spelling of 890868 in words is "eight hundred ninety thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 397 561 748 794 1122 1191 1588 2244 2382 4367 4764 6749 8734 13101 13498 17468 20247 26202 26996 40494 52404 74239 80988 148478 222717 296956 445434 890868