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2006316 = 2233131429
BaseRepresentation
bin111101001110100101100
310202221011000
413221310230
51003200231
6111000300
723024214
oct7516454
93687130
102006316
111150414
12809090
13553290
143a3244
152996e6
hex1e9d2c

2006316 has 48 divisors (see below), whose sum is σ = 5605600. Its totient is φ = 616896.

The previous prime is 2006299. The next prime is 2006317. The reversal of 2006316 is 6136002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006317) 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, 690 + ... + 2118.

22006316 is an apocalyptic number.

2006316 is a gapful number since it is divisible by the number (26) 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 2006316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802800).

2006316 is an abundant number, since it is smaller than the sum of its proper divisors (3599284).

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

2006316 is a wasteful number, since it uses less digits than its factorization.

2006316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2006316 is about 1416.4448453787. Note that the first 3 decimals coincide. The cubic root of 2006316 is about 126.1245933104.

The spelling of 2006316 in words is "two million, six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1429 2858 4287 5716 8574 12861 17148 18577 25722 37154 38583 51444 55731 74308 77166 111462 154332 167193 222924 334386 501579 668772 1003158 2006316