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2775213 = 32732931
BaseRepresentation
bin1010100101100010101101
312012222212200
422211202231
51202301323
6135252113
732406000
oct12454255
95188780
102775213
111626071
12b1a039
1376224c
14523537
1539c443
hex2a58ad

2775213 has 48 divisors (see below), whose sum is σ = 4992000. Its totient is φ = 1481760.

The previous prime is 2775193. The next prime is 2775221. The reversal of 2775213 is 3125772.

2775213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2775213 - 25 = 2775181 is a prime.

Its product of digits (2940) is a multiple of the sum of its prime divisors (70).

It is a Curzon number.

2775213 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775293) 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 47 ways as a sum of consecutive naturals, for example, 89508 + ... + 89538.

It is an arithmetic number, because the mean of its divisors is an integer number (104000).

22775213 is an apocalyptic number.

It is an amenable number.

2775213 is a deficient number, since it is larger than the sum of its proper divisors (2216787).

2775213 is a wasteful number, since it uses less digits than its factorization.

2775213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2775213 is about 1665.8970556430. The cubic root of 2775213 is about 140.5288332140.

The spelling of 2775213 in words is "two million, seven hundred seventy-five thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 29 31 49 63 87 93 147 203 217 261 279 343 441 609 651 899 1029 1421 1519 1827 1953 2697 3087 4263 4557 6293 8091 9947 10633 12789 13671 18879 29841 31899 44051 56637 89523 95697 132153 308357 396459 925071 2775213