Search a number
-
+
87116220 = 223251134283
BaseRepresentation
bin1010011000101…
…00100110111100
320001220221222200
411030110212330
5134300204340
612351111500
72105322102
oct514244674
9201827880
1087116220
11451a1784
1225212590
1315082479
14b7d9c72
1579ac330
hex53149bc

87116220 has 72 divisors (see below), whose sum is σ = 266653296. Its totient is φ = 23020032.

The previous prime is 87116207. The next prime is 87116233. The reversal of 87116220 is 2261178.

It is an interprime number because it is at equal distance from previous prime (87116207) and next prime (87116233).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18199 + ... + 22481.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518).

Almost surely, 287116220 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 87116220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133326648).

87116220 is an abundant number, since it is smaller than the sum of its proper divisors (179537076).

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

87116220 is a wasteful number, since it uses less digits than its factorization.

87116220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87116220 is about 9333.6070197968. The cubic root of 87116220 is about 443.3019833234.

Adding to 87116220 its reverse (2261178), we get a palindrome (89377398).

The spelling of 87116220 in words is "eighty-seven million, one hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 4283 5085 6780 8566 10170 12849 17132 20340 21415 25698 38547 42830 51396 64245 77094 85660 128490 154188 192735 256980 385470 483979 770940 967958 1451937 1935916 2419895 2903874 4355811 4839790 5807748 7259685 8711622 9679580 14519370 17423244 21779055 29038740 43558110 87116220