Search a number
-
+
536163840 = 293357757
BaseRepresentation
bin11111111101010…
…011011000000000
31101100212221112000
4133331103120000
52044224220330
6125111504000
716200213612
oct3775233000
91340787460
10536163840
11255717913
1212b688000
1387107814
14512cadb2
153210d560
hex1ff53600

536163840 has 160 divisors (see below), whose sum is σ = 1904744160. Its totient is φ = 142958592.

The previous prime is 536163829. The next prime is 536163841. The reversal of 536163840 is 48361635.

536163840 is a `hidden beast` number, since 5 + 3 + 616 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×5361638403 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 536163795 and 536163804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536163841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65242 + ... + 72998.

It is an arithmetic number, because the mean of its divisors is an integer number (11904651).

Almost surely, 2536163840 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 536163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952372080).

536163840 is an abundant number, since it is smaller than the sum of its proper divisors (1368580320).

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

536163840 is an equidigital number, since it uses as much as digits as its factorization.

536163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 536163840 is about 23155.2119402954. The cubic root of 536163840 is about 812.3923783292.

The spelling of 536163840 in words is "five hundred thirty-six million, one hundred sixty-three thousand, eight hundred 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 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 7757 8640 11520 13824 15514 17280 23040 23271 31028 34560 38785 46542 62056 69120 69813 77570 93084 116355 124112 139626 155140 186168 209439 232710 248224 279252 310280 349065 372336 418878 465420 496448 558504 620560 698130 744672 837756 930840 992896 1047195 1117008 1241120 1396260 1489344 1675512 1861680 1985792 2094390 2234016 2482240 2792520 2978688 3351024 3723360 3971584 4188780 4468032 4964480 5585040 5957376 6702048 7446720 8377560 8936064 9928960 11170080 11914752 13404096 14893440 16755120 17872128 19857920 22340160 26808192 29786880 33510240 35744256 44680320 53616384 59573760 67020480 89360640 107232768 134040960 178721280 268081920 536163840