Search a number
-
+
264138 = 23719331
BaseRepresentation
bin1000000011111001010
3111102022220
41000133022
531423023
65354510
72150040
oct1003712
9442286
10264138
111704a6
12108a36
13932c4
146c390
15533e3
hex407ca

264138 has 32 divisors (see below), whose sum is σ = 637440. Its totient is φ = 71280.

The previous prime is 264137. The next prime is 264139. The reversal of 264138 is 831462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264137) and next prime (264139).

It is not an unprimeable number, because it can be changed into a prime (264133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (19920).

2264138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318720).

264138 is an abundant number, since it is smaller than the sum of its proper divisors (373302).

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

264138 is a wasteful number, since it uses less digits than its factorization.

264138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362.

The product of its digits is 1152, while the sum is 24.

The square root of 264138 is about 513.9435766697. The cubic root of 264138 is about 64.1618624240.

The spelling of 264138 in words is "two hundred sixty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 331 399 662 798 993 1986 2317 4634 6289 6951 12578 13902 18867 37734 44023 88046 132069 264138