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2006937 = 362753
BaseRepresentation
bin111101001111110011001
310202222000000
413221332121
51003210222
6111003213
723026062
oct7517631
93688000
102006937
111150929
12809509
1355364a
143a3569
152999ac
hex1e9f99

2006937 has 14 divisors (see below), whose sum is σ = 3010122. Its totient is φ = 1337472.

The previous prime is 2006929. The next prime is 2006959. The reversal of 2006937 is 7396002.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 35721 = 1404^2 + 189^2 .

It is not a de Polignac number, because 2006937 - 23 = 2006929 is a prime.

It is a super-2 number, since 2×20069372 = 8055592243938, which contains 22 as substring.

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

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2006937.

It is not an unprimeable number, because it can be changed into a prime (2006437) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 648 + ... + 2105.

22006937 is an apocalyptic number.

2006937 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2006937 is a deficient number, since it is larger than the sum of its proper divisors (1003185).

2006937 is an frugal number, since it uses more digits than its factorization.

2006937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2756 counting only the distinct ones).

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

The square root of 2006937 is about 1416.6640392132. The cubic root of 2006937 is about 126.1376047690.

The spelling of 2006937 in words is "two million, six thousand, nine hundred thirty-seven".

Divisors: 1 3 9 27 81 243 729 2753 8259 24777 74331 222993 668979 2006937