Search a number
-
+
6035421072 = 2432941105751
BaseRepresentation
bin1011001111011110…
…10011011110010000
3120120121201011020210
411213233103132100
544330031433242
62434520004120
7302364142542
oct54757233620
916517634223
106035421072
1126179241aa
121205300640
1375251b395
144137cd692
15254cd2d9c
hex167bd3790

6035421072 has 80 divisors (see below), whose sum is σ = 16522692480. Its totient is φ = 1895040000.

The previous prime is 6035421061. The next prime is 6035421089. The reversal of 6035421072 is 2701245306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4197 + ... + 109947.

It is an arithmetic number, because the mean of its divisors is an integer number (206533656).

Almost surely, 26035421072 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 6035421072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261346240).

6035421072 is an abundant number, since it is smaller than the sum of its proper divisors (10487271408).

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

6035421072 is a wasteful number, since it uses less digits than its factorization.

6035421072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105832 (or 105826 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6035421072 is about 77687.9725054014. The cubic root of 6035421072 is about 1820.6893769733.

Adding to 6035421072 its reverse (2701245306), we get a palindrome (8736666378).

The spelling of 6035421072 in words is "six billion, thirty-five million, four hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1392 1968 2378 3567 4756 7134 9512 14268 19024 28536 57072 105751 211502 317253 423004 634506 846008 1269012 1692016 2538024 3066779 4335791 5076048 6133558 8671582 9200337 12267116 13007373 17343164 18400674 24534232 26014746 34686328 36801348 49068464 52029492 69372656 73602696 104058984 125737939 147205392 208117968 251475878 377213817 502951756 754427634 1005903512 1508855268 2011807024 3017710536 6035421072