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2006369790 = 235198342409
BaseRepresentation
bin111011110010110…
…1100010111111110
312011211100010221020
41313211230113332
513102112313130
6531031245010
7100501601415
oct16745542776
95154303836
102006369790
1193a5a8357
1247bb19766
1325c897779
1415067647c
15bb21ee10
hex7796c5fe

2006369790 has 64 divisors (see below), whose sum is σ = 5129913600. Its totient is φ = 500753664.

The previous prime is 2006369777. The next prime is 2006369791. The reversal of 2006369790 is 979636002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006369791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26106 + ... + 68514.

It is an arithmetic number, because the mean of its divisors is an integer number (80154900).

Almost surely, 22006369790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006369790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564956800).

2006369790 is an abundant number, since it is smaller than the sum of its proper divisors (3123543810).

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

2006369790 is a wasteful number, since it uses less digits than its factorization.

2006369790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42521.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 2006369790 is about 44792.5193531241. The cubic root of 2006369790 is about 1261.2572044773.

The spelling of 2006369790 in words is "two billion, six million, three hundred sixty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 166 190 249 285 415 498 570 830 1245 1577 2490 3154 4731 7885 9462 15770 23655 42409 47310 84818 127227 212045 254454 424090 636135 805771 1272270 1611542 2417313 3519947 4028855 4834626 7039894 8057710 10559841 12086565 17599735 21119682 24173130 35199470 52799205 66878993 105598410 133757986 200636979 334394965 401273958 668789930 1003184895 2006369790