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138260 = 22531223
BaseRepresentation
bin100001110000010100
321000122202
4201300110
513411020
62544032
71114043
oct416024
9230582
10138260
1194971
1268018
134ac15
143855a
152ae75
hex21c14

138260 has 24 divisors (see below), whose sum is σ = 301056. Its totient is φ = 53280.

The previous prime is 138251. The next prime is 138283. The reversal of 138260 is 62831.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

138260 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, 509 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (12544).

2138260 is an apocalyptic number.

138260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528).

138260 is an abundant number, since it is smaller than the sum of its proper divisors (162796).

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

138260 is a wasteful number, since it uses less digits than its factorization.

138260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 138260 is about 371.8332959809. The cubic root of 138260 is about 51.7089259992.

The spelling of 138260 in words is "one hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 223 310 446 620 892 1115 2230 4460 6913 13826 27652 34565 69130 138260