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2006397 = 3374311
BaseRepresentation
bin111101001110101111101
310202221021000
413221311331
51003201042
6111000513
723024361
oct7516575
93687230
102006397
111150488
12809139
13553323
143a32a1
1529974c
hex1e9d7d

2006397 has 8 divisors (see below), whose sum is σ = 2972480. Its totient is φ = 1337580.

The previous prime is 2006393. The next prime is 2006429. The reversal of 2006397 is 7936002.

2006397 is a `hidden beast` number, since 20 + 0 + 639 + 7 = 666.

It is not a de Polignac number, because 2006397 - 22 = 2006393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74311 = 2006397 / (2 + 0 + 0 + 6 + 3 + 9 + 7).

It is a Duffinian number.

2006397 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2006397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37129 + ... + 37182.

It is an arithmetic number, because the mean of its divisors is an integer number (371560).

22006397 is an apocalyptic number.

2006397 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2006397 is a deficient number, since it is larger than the sum of its proper divisors (966083).

2006397 is an equidigital number, since it uses as much as digits as its factorization.

2006397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74320 (or 74314 counting only the distinct ones).

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

The square root of 2006397 is about 1416.4734378025. The cubic root of 2006397 is about 126.1262906094.

The spelling of 2006397 in words is "two million, six thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 74311 222933 668799 2006397