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2006424 = 233371327
BaseRepresentation
bin111101001110110011000
310202221022000
413221312120
51003201144
6111001000
723024430
oct7516630
93687260
102006424
111150502
12809160
13553344
143a32c0
15299769
hex1e9d98

2006424 has 64 divisors (see below), whose sum is σ = 6374400. Its totient is φ = 572832.

The previous prime is 2006393. The next prime is 2006429. The reversal of 2006424 is 4246002.

2006424 is a `hidden beast` number, since 20 + 0 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2006397 and 2006406.

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 15 ways as a sum of consecutive naturals, for example, 849 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (99600).

22006424 is an apocalyptic number.

2006424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187200).

2006424 is an abundant number, since it is smaller than the sum of its proper divisors (4367976).

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

2006424 is a wasteful number, since it uses less digits than its factorization.

2006424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2006424 is about 1416.4829684821. The cubic root of 2006424 is about 126.1268563656.

The spelling of 2006424 in words is "two million, six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1327 1512 2654 3981 5308 7962 9289 10616 11943 15924 18578 23886 27867 31848 35829 37156 47772 55734 71658 74312 83601 95544 111468 143316 167202 222936 250803 286632 334404 501606 668808 1003212 2006424