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2000412036 = 22327191093833
BaseRepresentation
bin111011100111011…
…1101110110000100
312011102010110102200
41313032331312010
513044101141121
6530255434500
7100400136030
oct16716756604
95142113380
102000412036
119371a9197
12479b25a30
1325b58ca7c
1414d9651c0
15ba944a26
hex773bdd84

2000412036 has 144 divisors (see below), whose sum is σ = 6140534400. Its totient is φ = 536357376.

The previous prime is 2000412031. The next prime is 2000412053. The reversal of 2000412036 is 6302140002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2000412031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519976 + ... + 523808.

It is an arithmetic number, because the mean of its divisors is an integer number (42642600).

Almost surely, 22000412036 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 2000412036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070267200).

2000412036 is an abundant number, since it is smaller than the sum of its proper divisors (4140122364).

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

2000412036 is a wasteful number, since it uses less digits than its factorization.

2000412036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000412036 is about 44725.9660152802. The cubic root of 2000412036 is about 1260.0075660921.

Adding to 2000412036 its reverse (6302140002), we get a palindrome (8302552038).

The spelling of 2000412036 in words is "two billion, four hundred twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 109 114 126 133 171 218 228 252 266 327 342 399 436 532 654 684 763 798 981 1197 1308 1526 1596 1962 2071 2289 2394 3052 3833 3924 4142 4578 4788 6213 6867 7666 8284 9156 11499 12426 13734 14497 15332 18639 22998 24852 26831 27468 28994 34497 37278 43491 45996 53662 57988 68994 72827 74556 80493 86982 107324 130473 137988 145654 160986 173964 218481 241479 260946 291308 321972 417797 436962 482958 509789 521892 655443 835594 873924 965916 1019578 1253391 1310886 1529367 1671188 2039156 2506782 2621772 2924579 3058734 3760173 4588101 5013564 5849158 6117468 7520346 7938143 8773737 9176202 11698316 15040692 15876286 17547474 18352404 23814429 26321211 31752572 35094948 47628858 52642422 55567001 71443287 95257716 105284844 111134002 142886574 166701003 222268004 285773148 333402006 500103009 666804012 1000206018 2000412036