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2006336 = 26232947
BaseRepresentation
bin111101001110101000000
310202221011202
413221311000
51003200321
6111000332
723024243
oct7516500
93687152
102006336
111150432
128090a8
135532a7
143a325a
1529970b
hex1e9d40

2006336 has 56 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 906752.

The previous prime is 2006317. The next prime is 2006339. The reversal of 2006336 is 6336002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006339) 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, 42665 + ... + 42711.

22006336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

2006336 is an abundant number, since it is smaller than the sum of its proper divisors (2382784).

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

2006336 is a wasteful number, since it uses less digits than its factorization.

2006336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2006336 is about 1416.4519052901. The cubic root of 2006336 is about 126.1250124008.

The spelling of 2006336 in words is "two million, six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 29 32 46 47 58 64 92 94 116 184 188 232 368 376 464 667 736 752 928 1081 1334 1363 1472 1504 1856 2162 2668 2726 3008 4324 5336 5452 8648 10672 10904 17296 21344 21808 31349 34592 42688 43616 62698 69184 87232 125396 250792 501584 1003168 2006336