Search a number
-
+
866150560 = 255112321397
BaseRepresentation
bin110011101000000…
…110100010100000
32020100211000012101
4303220012202200
53233213304220
6221540340144
730315105202
oct6350064240
92210730171
10866150560
11404a12810
122020a4654
1310a5a4532
1483068772
155109230a
hex33a068a0

866150560 has 96 divisors (see below), whose sum is σ = 2329471872. Its totient is φ = 301255680.

The previous prime is 866150521. The next prime is 866150563. The reversal of 866150560 is 65051668.

It is not an unprimeable number, because it can be changed into a prime (866150563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29782 + ... + 51178.

It is an arithmetic number, because the mean of its divisors is an integer number (24265332).

Almost surely, 2866150560 is an apocalyptic number.

866150560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164735936).

866150560 is an abundant number, since it is smaller than the sum of its proper divisors (1463321312).

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

866150560 is a wasteful number, since it uses less digits than its factorization.

866150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21438 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 866150560 is about 29430.4359464823. The cubic root of 866150560 is about 953.2302081983.

The spelling of 866150560 in words is "eight hundred sixty-six million, one hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 21397 40480 42794 85588 106985 171176 213970 235367 342352 427940 470734 492131 684704 855880 941468 984262 1176835 1711760 1882936 1968524 2353670 2460655 3423520 3765872 3937048 4707340 4921310 5413441 7531744 7874096 9414680 9842620 10826882 15748192 18829360 19685240 21653764 27067205 37658720 39370480 43307528 54134410 78740960 86615056 108268820 173230112 216537640 433075280 866150560