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268158 = 231117239
BaseRepresentation
bin1000001011101111110
3111121211210
41001131332
532040113
65425250
72164542
oct1013576
9447753
10268158
11173520
1210b226
1395097
146da22
15546c3
hex4177e

268158 has 32 divisors (see below), whose sum is σ = 622080. Its totient is φ = 76160.

The previous prime is 268153. The next prime is 268171. The reversal of 268158 is 851862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268153) by changing a digit.

268158 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 15 ways as a sum of consecutive naturals, for example, 1003 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2268158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

268158 is an abundant number, since it is smaller than the sum of its proper divisors (353922).

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

268158 is a wasteful number, since it uses less digits than its factorization.

268158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its digits is 3840, while the sum is 30.

The square root of 268158 is about 517.8397435501. The cubic root of 268158 is about 64.4857248620.

The spelling of 268158 in words is "two hundred sixty-eight thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 239 374 478 561 717 1122 1434 2629 4063 5258 7887 8126 12189 15774 24378 44693 89386 134079 268158