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2006420 = 225137717
BaseRepresentation
bin111101001110110010100
310202221021212
413221312110
51003201140
6111000552
723024423
oct7516624
93687255
102006420
1111504a9
12809158
13553340
143a32ba
15299765
hex1e9d94

2006420 has 24 divisors (see below), whose sum is σ = 4538184. Its totient is φ = 740736.

The previous prime is 2006393. The next prime is 2006429. The reversal of 2006420 is 246002.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 1976836 = 172^2 + 1406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2006395 and 2006404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006429) 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, 3599 + ... + 4118.

It is an arithmetic number, because the mean of its divisors is an integer number (189091).

22006420 is an apocalyptic number.

2006420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006420 is an abundant number, since it is smaller than the sum of its proper divisors (2531764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2006420 is a wasteful number, since it uses less digits than its factorization.

2006420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2006420 is about 1416.4815565337. The cubic root of 2006420 is about 126.1267725502.

The spelling of 2006420 in words is "two million, six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 7717 15434 30868 38585 77170 100321 154340 200642 401284 501605 1003210 2006420