Search a number
-
+
2706780 = 2235197229
BaseRepresentation
bin1010010100110101011100
312002112000010
422110311130
51143104110
6134003220
732002326
oct12246534
95075003
102706780
11158970a
12aa6510
1373a05b
14506616
15387020
hex294d5c

2706780 has 48 divisors (see below), whose sum is σ = 7650720. Its totient is φ = 715008.

The previous prime is 2706731. The next prime is 2706787. The reversal of 2706780 is 876072.

2706780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11706 + ... + 11934.

It is an arithmetic number, because the mean of its divisors is an integer number (159390).

22706780 is an apocalyptic number.

2706780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2706780 is an abundant number, since it is smaller than the sum of its proper divisors (4943940).

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

2706780 is a wasteful number, since it uses less digits than its factorization.

2706780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2706780 is about 1645.2294672780. The cubic root of 2706780 is about 139.3641230360.

It can be divided in two parts, 2706 and 780, that added together give a triangular number (3486 = T83).

The spelling of 2706780 in words is "two million, seven hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 229 394 458 591 687 788 916 985 1145 1182 1374 1970 2290 2364 2748 2955 3435 3940 4580 5910 6870 11820 13740 45113 90226 135339 180452 225565 270678 451130 541356 676695 902260 1353390 2706780