Search a number
-
+
890838 = 2361347
BaseRepresentation
bin11011001011111010110
31200021000000
43121133112
5212001323
631032130
710400124
oct3313726
91607000
10890838
11559333
1236b646
13252630
14192914
15128e43
hexd97d6

890838 has 56 divisors (see below), whose sum is σ = 2203488. Its totient is φ = 268272.

The previous prime is 890833. The next prime is 890843. The reversal of 890838 is 838098.

It is an interprime number because it is at equal distance from previous prime (890833) and next prime (890843).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890833) 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 27 ways as a sum of consecutive naturals, for example, 18931 + ... + 18977.

It is an arithmetic number, because the mean of its divisors is an integer number (39348).

2890838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101744).

890838 is an abundant number, since it is smaller than the sum of its proper divisors (1312650).

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

890838 is a wasteful number, since it uses less digits than its factorization.

890838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 890838 is about 943.8421478192. The cubic root of 890838 is about 96.2201976658.

It can be divided in two parts, 890 and 838, that added together give a cube (1728 = 123).

The spelling of 890838 in words is "eight hundred ninety thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 81 94 117 141 162 234 243 282 351 423 486 611 702 729 846 1053 1222 1269 1458 1833 2106 2538 3159 3666 3807 5499 6318 7614 9477 10998 11421 16497 18954 22842 32994 34263 49491 68526 98982 148473 296946 445419 890838