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6402006 = 23213109251
BaseRepresentation
bin11000011010111111010110
3110001020220100
4120122333112
53114331011
6345114530
7105262512
oct30327726
913036810
106402006
113682a16
122188a46
131431c90
14bc9142
15866d56
hex61afd6

6402006 has 48 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 1944000.

The previous prime is 6402001. The next prime is 6402007. The reversal of 6402006 is 6002046.

6402006 is a `hidden beast` number, since 640 + 20 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6402006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25381 + ... + 25631.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 26402006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6402006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560).

6402006 is an abundant number, since it is smaller than the sum of its proper divisors (8733114).

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

6402006 is a wasteful number, since it uses less digits than its factorization.

6402006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6402006 is about 2530.2185676340. The cubic root of 6402006 is about 185.6829492915.

The spelling of 6402006 in words is "six million, four hundred two thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 251 327 502 654 753 981 1417 1506 1962 2259 2834 3263 4251 4518 6526 8502 9789 12753 19578 25506 27359 29367 54718 58734 82077 164154 246231 355667 492462 711334 1067001 2134002 3201003 6402006