Search a number
-
+
2713172 = 2271123383
BaseRepresentation
bin1010010110011001010100
312002211202212
422112121110
51143310142
6134052552
732030060
oct12263124
95084685
102713172
1115934a0
12aaa158
1373cc37
14508aa0
15388d82
hex296654

2713172 has 48 divisors (see below), whose sum is σ = 6193152. Its totient is φ = 1008480.

The previous prime is 2713157. The next prime is 2713177.

2713172 is nontrivially palindromic in base 10 and base 13.

It is a super-2 number, since 2×27131722 = 14722604603168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713177) 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, 6893 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (129024).

22713172 is an apocalyptic number.

2713172 is a gapful number since it is divisible by the number (22) 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 2713172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096576).

2713172 is an abundant number, since it is smaller than the sum of its proper divisors (3479980).

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

2713172 is a wasteful number, since it uses less digits than its factorization.

2713172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 2713172 is about 1647.1709079510. The cubic root of 2713172 is about 139.4737385421.

It can be divided in two parts, 271 and 3172, that added together give a palindrome (3443).

The spelling of 2713172 in words is "two million, seven hundred thirteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 383 506 644 766 1012 1532 1771 2681 3542 4213 5362 7084 8426 8809 10724 16852 17618 29491 35236 58982 61663 96899 117964 123326 193798 246652 387596 678293 1356586 2713172