Search a number
-
+
6066675360 = 253351404323
BaseRepresentation
bin1011010011001101…
…00001111010100000
3120122210112001002000
411221212201322200
544411032102420
62441553524000
7303223614114
oct55146417240
916583461060
106066675360
112633530a99
121213873600
13758b42245
14417a07744
15257908690
hex1699a1ea0

6066675360 has 96 divisors (see below), whose sum is σ = 21233378880. Its totient is φ = 1617778944.

The previous prime is 6066675337. The next prime is 6066675371. The reversal of 6066675360 is 635766606.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×60666753602 = 73609099847262259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697842 + ... + 706481.

It is an arithmetic number, because the mean of its divisors is an integer number (221181030).

Almost surely, 26066675360 is an apocalyptic number.

6066675360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6066675360 is an abundant number, since it is smaller than the sum of its proper divisors (15166703520).

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

6066675360 is a wasteful number, since it uses less digits than its factorization.

6066675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404347 (or 1404333 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6066675360 is about 77888.8654430144. The cubic root of 6066675360 is about 1823.8267667888.

The spelling of 6066675360 in words is "six billion, sixty-six million, six hundred seventy-five thousand, three hundred sixty".

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 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1404323 2808646 4212969 5617292 7021615 8425938 11234584 12638907 14043230 16851876 21064845 22469168 25277814 28086460 33703752 37916721 42129690 44938336 50555628 56172920 63194535 67407504 75833442 84259380 101111256 112345840 126389070 134815008 151666884 168518760 189583605 202222512 224691680 252778140 303333768 337037520 379167210 404445024 505556280 606667536 674075040 758334420 1011112560 1213335072 1516668840 2022225120 3033337680 6066675360