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2006010 = 232531719
BaseRepresentation
bin111101001101111111010
310202220201200
413221233322
51003143020
6110555030
723023266
oct7515772
93686650
102006010
111150166
12808a76
135530b6
143a30a6
15299590
hex1e9bfa

2006010 has 48 divisors (see below), whose sum is σ = 5391360. Its totient is φ = 516960.

The previous prime is 2006009. The next prime is 2006021. The reversal of 2006010 is 106002.

It is a super-2 number, since 2×20060102 = 8048152240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2005983 and 2006001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2431 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

22006010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695680).

2006010 is an abundant number, since it is smaller than the sum of its proper divisors (3385350).

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

2006010 is a wasteful number, since it uses less digits than its factorization.

2006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2006010 is about 1416.3368243465. The cubic root of 2006010 is about 126.1181808795.

The spelling of 2006010 in words is "two million, six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 719 930 1395 1438 2157 2790 3595 4314 6471 7190 10785 12942 21570 22289 32355 44578 64710 66867 111445 133734 200601 222890 334335 401202 668670 1003005 2006010