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86694220 = 22517253283
BaseRepresentation
bin1010010101011…
…01100101001100
320001010112010001
411022231211030
5134143203340
612334054044
72101613554
oct512554514
9201115101
1086694220
1144a33718
122504a324
1314c65372
14b72a164
15792729a
hex52ad94c

86694220 has 72 divisors (see below), whose sum is σ = 197742384. Its totient is φ = 31908864.

The previous prime is 86694211. The next prime is 86694221. The reversal of 86694220 is 2249668.

It is a self number, because there is not a number n which added to its sum of digits gives 86694220.

It is not an unprimeable number, because it can be changed into a prime (86694221) by changing a digit.

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, 306199 + ... + 306481.

It is an arithmetic number, because the mean of its divisors is an integer number (2746422).

Almost surely, 286694220 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 86694220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98871192).

86694220 is an abundant number, since it is smaller than the sum of its proper divisors (111048164).

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

86694220 is a wasteful number, since it uses less digits than its factorization.

86694220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 86694220 is about 9310.9730962988. The cubic root of 86694220 is about 442.5850241463.

The spelling of 86694220 in words is "eighty-six million, six hundred ninety-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 283 289 340 530 566 578 901 1060 1132 1156 1415 1445 1802 2830 2890 3604 4505 4811 5660 5780 9010 9622 14999 15317 18020 19244 24055 29998 30634 48110 59996 61268 74995 76585 81787 96220 149990 153170 163574 254983 299980 306340 327148 408935 509966 817870 1019932 1274915 1635740 2549830 4334711 5099660 8669422 17338844 21673555 43347110 86694220