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2672313 = 37553
BaseRepresentation
bin1010001100011010111001
312000202201120
422030122321
51141003223
6133135453
731500000
oct12143271
95022646
102672313
111565826
12a8a589
13727467
144d7c37
1537bbe3
hex28c6b9

2672313 has 24 divisors (see below), whose sum is σ = 4235328. Its totient is φ = 1498224.

The previous prime is 2672309. The next prime is 2672317. The reversal of 2672313 is 3132762.

2672313 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 (2672309) and next prime (2672317).

It is not a de Polignac number, because 2672313 - 22 = 2672309 is a prime.

Its product of digits (1512) is a multiple of the sum of its prime divisors (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672317) 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 23 ways as a sum of consecutive naturals, for example, 50395 + ... + 50447.

It is an arithmetic number, because the mean of its divisors is an integer number (176472).

22672313 is an apocalyptic number.

It is an amenable number.

2672313 is a deficient number, since it is larger than the sum of its proper divisors (1563015).

2672313 is an frugal number, since it uses more digits than its factorization.

2672313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 2672313 is about 1634.7210771260. The cubic root of 2672313 is about 138.7700595947.

The spelling of 2672313 in words is "two million, six hundred seventy-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 53 147 159 343 371 1029 1113 2401 2597 7203 7791 16807 18179 50421 54537 127253 381759 890771 2672313