Search a number
-
+
8066291040 = 25345622399
BaseRepresentation
bin1111000001100100…
…11101010101100000
3202211011011001010000
413200302131111200
5113004432303130
63412224340000
7403614225333
oct74062352540
922734131100
108066291040
11346a235935
121691474600
139b71b36a2
1456740261a
15323242260
hex1e0c9d560

8066291040 has 120 divisors (see below), whose sum is σ = 28467331200. Its totient is φ = 2151007488.

The previous prime is 8066291033. The next prime is 8066291059. The reversal of 8066291040 is 401926608.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×80662910402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8066290986 and 8066291004.

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, 298240 + ... + 324159.

It is an arithmetic number, because the mean of its divisors is an integer number (237227760).

Almost surely, 28066291040 is an apocalyptic number.

8066291040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8066291040 is an abundant number, since it is smaller than the sum of its proper divisors (20401040160).

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

8066291040 is a wasteful number, since it uses less digits than its factorization.

8066291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622426 (or 622409 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8066291040 is about 89812.5327557352. The cubic root of 8066291040 is about 2005.5090645042.

The spelling of 8066291040 in words is "eight billion, sixty-six million, two hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 622399 1244798 1867197 2489596 3111995 3734394 4979192 5601591 6223990 7468788 9335985 9958384 11203182 12447980 14937576 16804773 18671970 19916768 22406364 24895960 28007955 29875152 33609546 37343940 44812728 49791920 50414319 56015910 59750304 67219092 74687880 84023865 89625456 99583840 100828638 112031820 134438184 149375760 168047730 179250912 201657276 224063640 252071595 268876368 298751520 336095460 403314552 448127280 504143190 537752736 672190920 806629104 896254560 1008286380 1344381840 1613258208 2016572760 2688763680 4033145520 8066291040