Search a number
-
+
86069220 = 223523471327
BaseRepresentation
bin1010010000101…
…00111111100100
312222221202202220
411020110333210
5134013203340
612312432340
72063401446
oct510247744
9188852686
1086069220
1144647096
12249a86b0
1314aa6a43
14b606496
157851ed0
hex5214fe4

86069220 has 96 divisors (see below), whose sum is σ = 257015808. Its totient is φ = 21470592.

The previous prime is 86069219. The next prime is 86069233. The reversal of 86069220 is 2296068.

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 31 ways as a sum of consecutive naturals, for example, 64197 + ... + 65523.

It is an arithmetic number, because the mean of its divisors is an integer number (2677248).

Almost surely, 286069220 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 86069220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128507904).

86069220 is an abundant number, since it is smaller than the sum of its proper divisors (170946588).

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

86069220 is a wasteful number, since it uses less digits than its factorization.

86069220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 86069220 is about 9277.3498371033. The cubic root of 86069220 is about 441.5188898435.

The spelling of 86069220 in words is "eighty-six million, sixty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1327 1380 1410 2162 2654 2820 3243 3981 4324 5308 5405 6486 6635 7962 10810 12972 13270 15924 16215 19905 21620 26540 30521 32430 39810 61042 62369 64860 79620 91563 122084 124738 152605 183126 187107 249476 305210 311845 366252 374214 457815 610420 623690 748428 915630 935535 1247380 1434487 1831260 1871070 2868974 3742140 4303461 5737948 7172435 8606922 14344870 17213844 21517305 28689740 43034610 86069220