Search a number
-
+
2770417 = 13497
BaseRepresentation
bin1010100100010111110001
312012202022001
422210113301
51202123132
6135214001
732356006
oct12442761
95182261
102770417
111622501
12b17301
13760000
145218ad
1539ace7
hex2a45f1

2770417 has 10 divisors (see below), whose sum is σ = 3032218. Its totient is φ = 2530944.

The previous prime is 2770393. The next prime is 2770429. The reversal of 2770417 is 7140772.

2770417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2405601 + 364816 = 1551^2 + 604^2 .

It is not a de Polignac number, because 2770417 - 215 = 2737649 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2770217) 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 9 ways as a sum of consecutive naturals, for example, 28513 + ... + 28609.

22770417 is an apocalyptic number.

It is an amenable number.

2770417 is a deficient number, since it is larger than the sum of its proper divisors (261801).

2770417 is an frugal number, since it uses more digits than its factorization.

2770417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 2770417 is about 1664.4569685035. The cubic root of 2770417 is about 140.4478346381.

The spelling of 2770417 in words is "two million, seven hundred seventy thousand, four hundred seventeen".

Divisors: 1 13 97 169 1261 2197 16393 28561 213109 2770417