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2000240406 = 2368316529
BaseRepresentation
bin111011100111001…
…0011111100010110
312011101210202000000
41313032103330112
513044030143111
6530252032130
7100365522453
oct16716237426
95141722000
102000240406
119370a124a
12479a62646
1325b52c908
1414d91c82a
15ba90dc56
hex77393f16

2000240406 has 56 divisors (see below), whose sum is σ = 4552957080. Its totient is φ = 658673856.

The previous prime is 2000240401. The next prime is 2000240449. The reversal of 2000240406 is 6040420002.

2000240406 is a `hidden beast` number, since 20 + 0 + 0 + 240 + 406 = 666.

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 (2000240401) 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 27 ways as a sum of consecutive naturals, for example, 112750 + ... + 129278.

It is an arithmetic number, because the mean of its divisors is an integer number (81302805).

Almost surely, 22000240406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000240406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276478540).

2000240406 is an abundant number, since it is smaller than the sum of its proper divisors (2552716674).

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

2000240406 is an equidigital number, since it uses as much as digits as its factorization.

2000240406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16632 (or 16617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2000240406 is about 44724.0472900206. The cubic root of 2000240406 is about 1259.9715299690.

Adding to 2000240406 its reverse (6040420002), we get a palindrome (8040660408).

The spelling of 2000240406 in words is "two billion, two hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 243 249 486 498 729 747 1458 1494 2241 4482 6723 13446 16529 20169 33058 40338 49587 60507 99174 121014 148761 297522 446283 892566 1338849 1371907 2677698 2743814 4016547 4115721 8033094 8231442 12049641 12347163 24099282 24694326 37041489 74082978 111124467 222248934 333373401 666746802 1000120203 2000240406