Search a number
-
+
2780973 = 341319139
BaseRepresentation
bin1010100110111100101101
312020021210000
422212330231
51202442343
6135334513
732431536
oct12467455
95207700
102780973
11162a428
12b21439
13764a60
1452568d
1539ded3
hex2a6f2d

2780973 has 40 divisors (see below), whose sum is σ = 4743200. Its totient is φ = 1609632.

The previous prime is 2780971. The next prime is 2780993. The reversal of 2780973 is 3790872.

It is not a de Polignac number, because 2780973 - 21 = 2780971 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19938 + ... + 20076.

It is an arithmetic number, because the mean of its divisors is an integer number (118580).

22780973 is an apocalyptic number.

It is an amenable number.

2780973 is a deficient number, since it is larger than the sum of its proper divisors (1962227).

2780973 is a wasteful number, since it uses less digits than its factorization.

2780973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2780973 is about 1667.6249578367. The cubic root of 2780973 is about 140.6259893264.

The spelling of 2780973 in words is "two million, seven hundred eighty thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 19 27 39 57 81 117 139 171 247 351 417 513 741 1053 1251 1539 1807 2223 2641 3753 5421 6669 7923 11259 16263 20007 23769 34333 48789 71307 102999 146367 213921 308997 926991 2780973