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2713264 = 242373101
BaseRepresentation
bin1010010110011010110000
312002211220021
422112122300
51143311024
6134053224
732030251
oct12263260
95084807
102713264
111593574
12aaa214
1373cca8
14508b28
15388de4
hex2966b0

2713264 has 40 divisors (see below), whose sum is σ = 5615712. Its totient is φ = 1267200.

The previous prime is 2713259. The next prime is 2713267. The reversal of 2713264 is 4623172.

2713264 is nontrivially palindromic in base 3.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2713267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26814 + ... + 26914.

22713264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807856).

2713264 is an abundant number, since it is smaller than the sum of its proper divisors (2902448).

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

2713264 is a wasteful number, since it uses less digits than its factorization.

2713264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 2713264 is about 1647.1988343852. The cubic root of 2713264 is about 139.4753149797.

The spelling of 2713264 in words is "two million, seven hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 73 92 101 146 184 202 292 368 404 584 808 1168 1616 1679 2323 3358 4646 6716 7373 9292 13432 14746 18584 26864 29492 37168 58984 117968 169579 339158 678316 1356632 2713264