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2006420592 = 2431143671319
BaseRepresentation
bin111011110010111…
…1000110001110000
312011211102201121210
41313211320301300
513102120424332
6531032320120
7100502202501
oct16745706160
95154381553
102006420592
1193a632540
1247bb43040
1325c8b4927
1415068aba8
15bb22eecc
hex77978c70

2006420592 has 160 divisors (see below), whose sum is σ = 5876766720. Its totient is φ = 584559360.

The previous prime is 2006420587. The next prime is 2006420599. The reversal of 2006420592 is 2950246002.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006420599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520509 + ... + 1521827.

It is an arithmetic number, because the mean of its divisors is an integer number (36729792).

Almost surely, 22006420592 is an apocalyptic number.

2006420592 is a gapful number since it is divisible by the number (22) 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 2006420592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938383360).

2006420592 is an abundant number, since it is smaller than the sum of its proper divisors (3870346128).

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

2006420592 is a wasteful number, since it uses less digits than its factorization.

2006420592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2006420592 is about 44793.0864308322. The cubic root of 2006420592 is about 1261.2678495485.

Adding to 2006420592 its reverse (2950246002), we get a palindrome (4956666594).

The spelling of 2006420592 in words is "two billion, six million, four hundred twenty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 67 86 88 129 132 134 172 176 201 258 264 268 344 402 473 516 528 536 688 737 804 946 1032 1072 1319 1419 1474 1608 1892 2064 2211 2638 2838 2881 2948 3216 3784 3957 4422 5276 5676 5762 5896 7568 7914 8643 8844 10552 11352 11524 11792 14509 15828 17286 17688 21104 22704 23048 29018 31656 31691 34572 35376 43527 46096 56717 58036 63312 63382 69144 87054 88373 95073 113434 116072 126764 138288 170151 174108 176746 190146 226868 232144 253528 265119 340302 348216 353492 380292 453736 507056 530238 623887 680604 696432 706984 760584 907472 972103 1060476 1247774 1361208 1413968 1521168 1871661 1944206 2120952 2495548 2722416 2916309 3743322 3800039 3888412 4241904 4991096 5832618 7486644 7600078 7776824 9982192 11400117 11665236 14973288 15200156 15553648 22800234 23330472 29946576 30400312 41800429 45600468 46660944 60800624 83600858 91200936 125401287 167201716 182401872 250802574 334403432 501605148 668806864 1003210296 2006420592