Search a number
BaseRepresentation
bin101010001101
310201001
4222031
541301
620301
710606
oct5215
93631
102701
112036
121691
1312ca
15c01
hexa8d

2701 has 4 divisors (see below), whose sum is σ = 2812. Its totient is φ = 2592.

The previous prime is 2699. The next prime is 2707. The reversal of 2701 is 1072.

Adding to 2701 its reverse (1072), we get a palindrome (3773).

It can be divided in two parts, 2 and 701, that added together give a triangular number (703 = T37).

2701 is nontrivially palindromic in base 14.

2701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2701 is a nontrivial binomial coefficient, being equal to C(74, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2025 + 676 = 45^2 + 26^2 .

It is a 3-Lehmer number, since φ(2701) divides (2701-1)3.

It is a cyclic number.

It is not a de Polignac number, because 2701 - 21 = 2699 is a prime.

It is an alternating number because its digits alternate between even and odd.

2701 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 73.

It is an arithmetic number, because the mean of its divisors is an integer number (703).

It is a Poulet number, since it divides 22700-1.

22701 is an apocalyptic number.

2701 is the 73-rd triangular number and also the 37-th hexagonal number.

2701 is the 25-th centered nonagonal number.

It is an amenable number.

2701 is a deficient number, since it is larger than the sum of its proper divisors (111).

2701 is an equidigital number, since it uses as much as digits as its factorization.

2701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2701 is about 51.9711458407. The cubic root of 2701 is about 13.9264853956.

The spelling of 2701 in words is "two thousand, seven hundred one", and thus it is an iban number.

Divisors: 1 37 73 2701