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890256 = 243171091
BaseRepresentation
bin11011001010110010000
31200020012110
43121112100
5211442011
631025320
710365333
oct3312620
91606173
10890256
11558954
1236b240
132522a3
1419261a
15128ba6
hexd9590

890256 has 40 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 279040.

The previous prime is 890237. The next prime is 890287. The reversal of 890256 is 652098.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

890256 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 7 ways as a sum of consecutive naturals, for example, 271 + ... + 1361.

2890256 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 890256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

890256 is an abundant number, since it is smaller than the sum of its proper divisors (1547088).

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

890256 is a wasteful number, since it uses less digits than its factorization.

890256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 890256 is about 943.5337831790. The cubic root of 890256 is about 96.1992389899.

The spelling of 890256 in words is "eight hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1091 2182 3273 4364 6546 8728 13092 17456 18547 26184 37094 52368 55641 74188 111282 148376 222564 296752 445128 890256