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86320360 = 2357244041
BaseRepresentation
bin1010010010100…
…10010011101000
320000102112021101
411021102103220
5134044222420
612322051144
72065465600
oct511222350
9200375241
1086320360
11447a8845
1224aa9ab4
1314b64149
14b66dc00
1578a160a
hex52524e8

86320360 has 48 divisors (see below), whose sum is σ = 225935460. Its totient is φ = 29594880.

The previous prime is 86320343. The next prime is 86320369. The reversal of 86320360 is 6302368.

It can be written as a sum of positive squares in 2 ways, for example, as 86155524 + 164836 = 9282^2 + 406^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (86320369) 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 11 ways as a sum of consecutive naturals, for example, 20061 + ... + 23980.

Almost surely, 286320360 is an apocalyptic number.

It is an amenable number.

86320360 is an abundant number, since it is smaller than the sum of its proper divisors (139615100).

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

86320360 is a wasteful number, since it uses less digits than its factorization.

86320360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44066 (or 44055 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 86320360 is about 9290.8750933375. The cubic root of 86320360 is about 441.9479064750.

The spelling of 86320360 in words is "eighty-six million, three hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 44041 88082 176164 220205 308287 352328 440410 616574 880820 1233148 1541435 1761640 2158009 2466296 3082870 4316018 6165740 8632036 10790045 12331480 17264072 21580090 43160180 86320360