Search a number
-
+
2065510368 = 25341941941
BaseRepresentation
bin111101100011101…
…0010111111100000
312022221121210120000
41323013102333200
513212232312433
6540543020000
7102120356055
oct17307227740
95287553500
102065510368
1196aa21569
1249789a600
1326bc034ac
1415846d02c
15c1503113
hex7b1d2fe0

2065510368 has 120 divisors (see below), whose sum is σ = 6394477320. Its totient is φ = 652250880.

The previous prime is 2065510333. The next prime is 2065510411. The reversal of 2065510368 is 8630155602.

2065510368 is a `hidden beast` number, since 20 + 65 + 510 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28278 + ... + 70218.

It is an arithmetic number, because the mean of its divisors is an integer number (53287311).

Almost surely, 22065510368 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 2065510368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197238660).

2065510368 is an abundant number, since it is smaller than the sum of its proper divisors (4328966952).

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

2065510368 is a wasteful number, since it uses less digits than its factorization.

2065510368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41982 (or 41965 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2065510368 is about 45447.8862874832. The cubic root of 2065510368 is about 1273.5298431827.

The spelling of 2065510368 in words is "two billion, sixty-five million, five hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 41941 49248 83882 125823 167764 251646 335528 377469 503292 671056 754938 796879 1006584 1132407 1342112 1509876 1593758 2013168 2264814 2390637 3019752 3187516 3397221 4026336 4529628 4781274 6039504 6375032 6794442 7171911 9059256 9562548 12079008 12750064 13588884 14343822 18118512 19125096 21515733 25500128 27177768 28687644 36237024 38250192 43031466 54355536 57375288 64547199 76500384 86062932 108711072 114750576 129094398 172125864 229501152 258188796 344251728 516377592 688503456 1032755184 2065510368