Search a number
-
+
5920906768 = 247219596737
BaseRepresentation
bin1011000001110100…
…11101111000010000
3120021122020020011021
411200322131320100
544111223004033
62415305325224
7266503606600
oct54072357020
916248206137
105920906768
112569219987
121192a96814
1373489533a
14402500c00
15249c12b2d
hex160e9de10

5920906768 has 120 divisors (see below), whose sum is σ = 14287255200. Its totient is φ = 2362881024.

The previous prime is 5920906741. The next prime is 5920906769. The reversal of 5920906768 is 8676090295.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5920906769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875496 + ... + 882232.

It is an arithmetic number, because the mean of its divisors is an integer number (119060460).

Almost surely, 25920906768 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 5920906768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143627600).

5920906768 is an abundant number, since it is smaller than the sum of its proper divisors (8366348432).

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

5920906768 is a wasteful number, since it uses less digits than its factorization.

5920906768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 5920906768 is about 76947.4285990117. The cubic root of 5920906768 is about 1809.1006966855.

The spelling of 5920906768 in words is "five billion, nine hundred twenty million, nine hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 59 76 98 112 118 133 152 196 236 266 304 392 413 472 532 784 826 931 944 1064 1121 1652 1862 2128 2242 2891 3304 3724 4484 5782 6608 6737 7448 7847 8968 11564 13474 14896 15694 17936 23128 26948 31388 46256 47159 53896 54929 62776 94318 107792 109858 125552 128003 188636 219716 256006 330113 377272 397483 439432 512012 660226 754544 794966 878864 896021 1024024 1320452 1589932 1792042 2048048 2640904 2782381 3179864 3584084 5281808 5564762 6272147 6359728 7168168 7552177 11129524 12544294 14336336 15104354 19476667 22259048 25088588 30208708 38953334 44518096 50177176 52865239 60417416 77906668 100354352 105730478 120834832 155813336 211460956 311626672 370056673 422921912 740113346 845843824 1480226692 2960453384 5920906768