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2679417 = 321322901
BaseRepresentation
bin1010001110001001111001
312001010110200
422032021321
51141220132
6133232413
731526466
oct12161171
95033420
102679417
1115700a4
12a92709
1372a770
144da66d
1537dd7c
hex28e279

2679417 has 12 divisors (see below), whose sum is σ = 4168164. Its totient is φ = 1648800.

The previous prime is 2679407. The next prime is 2679427. The reversal of 2679417 is 7149762.

It is a happy number.

2679417 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 (2679407) and next prime (2679427).

It can be written as a sum of positive squares in 2 ways, for example, as 1687401 + 992016 = 1299^2 + 996^2 .

It is not a de Polignac number, because 2679417 - 24 = 2679401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2679407) 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 11 ways as a sum of consecutive naturals, for example, 11334 + ... + 11567.

It is an arithmetic number, because the mean of its divisors is an integer number (347347).

22679417 is an apocalyptic number.

It is an amenable number.

2679417 is a deficient number, since it is larger than the sum of its proper divisors (1488747).

2679417 is a wasteful number, since it uses less digits than its factorization.

2679417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22920 (or 22917 counting only the distinct ones).

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

The square root of 2679417 is about 1636.8924827245. The cubic root of 2679417 is about 138.8929182357.

The spelling of 2679417 in words is "two million, six hundred seventy-nine thousand, four hundred seventeen".

Divisors: 1 3 9 13 39 117 22901 68703 206109 297713 893139 2679417