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4064075620 = 22511237571061
BaseRepresentation
bin1111001000111100…
…1101111101100100
3101111020021102200021
43302033031331210
531310400404440
61511135124524
7202466033653
oct36217157544
911436242607
104064075620
1117a6079190
12955073744
134c9c97797
142a7a7319a
1518bbd084a
hexf23cdf64

4064075620 has 96 divisors (see below), whose sum is σ = 9737231616. Its totient is φ = 1410393600.

The previous prime is 4064075611. The next prime is 4064075621. The reversal of 4064075620 is 265704604.

It is not an unprimeable number, because it can be changed into a prime (4064075621) 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 31 ways as a sum of consecutive naturals, for example, 3829890 + ... + 3830950.

It is an arithmetic number, because the mean of its divisors is an integer number (101429496).

Almost surely, 24064075620 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 4064075620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868615808).

4064075620 is an abundant number, since it is smaller than the sum of its proper divisors (5673155996).

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

4064075620 is a wasteful number, since it uses less digits than its factorization.

4064075620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4064075620 is about 63750.1029018777. The cubic root of 4064075620 is about 1595.8323332092.

The spelling of 4064075620 in words is "four billion, sixty-four million, seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 757 1012 1061 1265 1514 2122 2530 3028 3785 4244 5060 5305 7570 8327 10610 11671 15140 16654 17411 21220 23342 24403 33308 34822 41635 46684 48806 58355 69644 83270 87055 97612 116710 122015 166540 174110 191521 233420 244030 268433 348220 383042 488060 536866 766084 803177 957605 1073732 1342165 1606354 1915210 2684330 3212708 3830420 4015885 5368660 8031770 8834947 16063540 17669894 18473071 35339788 36946142 44174735 73892284 88349470 92365355 176698940 184730710 203203781 369461420 406407562 812815124 1016018905 2032037810 4064075620