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2730 = 235713
BaseRepresentation
bin101010101010
310202010
4222222
541410
620350
710650
oct5252
93663
102730
112062
1216b6
131320
14dd0
15c20
hexaaa

2730 has 32 divisors (see below), whose sum is σ = 8064. Its totient is φ = 576.

The previous prime is 2729. The next prime is 2731. The reversal of 2730 is 372.

Adding to 2730 its product of nonzero digits (42), we get a palindrome (2772).

2730 = T20 + T21 + ... + T28.

2730 = 82 + 92 + ... + 202.

2730 is nontrivially palindromic in base 4, base 9 and base 16.

2730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2730 is an esthetic number in base 2, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2729) and next prime (2731).

2730 is an undulating number in base 2 and base 8.

2730 is a nontrivial repdigit in base 4 and base 16.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 4, base 14, base 15 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731) 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, 204 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

22730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

2730 is an abundant number, since it is smaller than the sum of its proper divisors (5334).

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

2730 is a wasteful number, since it uses less digits than its factorization.

2730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30.

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 2730 is about 52.2494019105. The cubic root of 2730 is about 13.9761498686.

The spelling of 2730 in words is "two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730