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2712933 = 3433493
BaseRepresentation
bin1010010110010101100101
312002211110000
422112111211
51143303213
6134051513
732026266
oct12262545
95084400
102712933
1115932a3
12aa9b99
1373cab2
1450896d
15388c73
hex296565

2712933 has 10 divisors (see below), whose sum is σ = 4052774. Its totient is φ = 1808568.

The previous prime is 2712923. The next prime is 2712943. The reversal of 2712933 is 3392172.

2712933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2712923) and next prime (2712943).

It can be written as a sum of positive squares in only one way, i.e., 2712609 + 324 = 1647^2 + 18^2 .

It is not a de Polignac number, because 2712933 - 212 = 2708837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2712897 and 2712906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712923) 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, 16666 + ... + 16827.

22712933 is an apocalyptic number.

It is an amenable number.

2712933 is a deficient number, since it is larger than the sum of its proper divisors (1339841).

2712933 is an equidigital number, since it uses as much as digits as its factorization.

2712933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33505 (or 33496 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2712933 is about 1647.0983577188. The cubic root of 2712933 is about 139.4696430649.

The spelling of 2712933 in words is "two million, seven hundred twelve thousand, nine hundred thirty-three".

Divisors: 1 3 9 27 81 33493 100479 301437 904311 2712933