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263142 = 23311443
BaseRepresentation
bin1000000001111100110
3111100222000
41000033212
531410032
65350130
72144115
oct1001746
9440860
10263142
1116a780
12108346
1392a09
146bc7c
1552e7c
hex403e6

263142 has 32 divisors (see below), whose sum is σ = 639360. Its totient is φ = 79560.

The previous prime is 263129. The next prime is 263167. The reversal of 263142 is 241362.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2263142 is an apocalyptic number.

263142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 263142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319680).

263142 is an abundant number, since it is smaller than the sum of its proper divisors (376218).

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

263142 is a wasteful number, since it uses less digits than its factorization.

263142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 263142 is about 512.9736835355. The cubic root of 263142 is about 64.0811145986.

The spelling of 263142 in words is "two hundred sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 443 594 886 1329 2658 3987 4873 7974 9746 11961 14619 23922 29238 43857 87714 131571 263142