Search a number
-
+
2713100 = 2252132087
BaseRepresentation
bin1010010110011000001100
312002211200012
422112120030
51143304400
6134052352
732026625
oct12263014
95084605
102713100
111593435
12aaa0b8
1373cbb0
14508a4c
15388d35
hex29660c

2713100 has 36 divisors (see below), whose sum is σ = 6343344. Its totient is φ = 1001280.

The previous prime is 2713079. The next prime is 2713111. The reversal of 2713100 is 13172.

It is a super-2 number, since 2×27131002 = 14721823220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (176204).

22713100 is an apocalyptic number.

2713100 is a gapful number since it is divisible by the number (20) 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 2713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171672).

2713100 is an abundant number, since it is smaller than the sum of its proper divisors (3630244).

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

2713100 is a wasteful number, since it uses less digits than its factorization.

2713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 2713100 is about 1647.1490521504. The cubic root of 2713100 is about 139.4725047835.

Adding to 2713100 its reverse (13172), we get a palindrome (2726272).

The spelling of 2713100 in words is "two million, seven hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2087 4174 8348 10435 20870 27131 41740 52175 54262 104350 108524 135655 208700 271310 542620 678275 1356550 2713100