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86133270 = 235191371103
BaseRepresentation
bin1010010001001…
…00101000010110
320000002000122010
411020210220112
5134022231040
612314045050
72064056256
oct510445026
9200060563
1086133270
1144690223
1224a19786
1314ac9c42
14b621966
157865e80
hex5224a16

86133270 has 64 divisors (see below), whose sum is σ = 219386880. Its totient is φ = 21581568.

The previous prime is 86133263. The next prime is 86133287. The reversal of 86133270 is 7233168.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77539 + ... + 78641.

It is an arithmetic number, because the mean of its divisors is an integer number (3427920).

Almost surely, 286133270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86133270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109693440).

86133270 is an abundant number, since it is smaller than the sum of its proper divisors (133253610).

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

86133270 is a wasteful number, since it uses less digits than its factorization.

86133270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 86133270 is about 9280.8011507628. The cubic root of 86133270 is about 441.6283841665.

The spelling of 86133270 in words is "eighty-six million, one hundred thirty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 137 190 274 285 411 570 685 822 1103 1370 2055 2206 2603 3309 4110 5206 5515 6618 7809 11030 13015 15618 16545 20957 26030 33090 39045 41914 62871 78090 104785 125742 151111 209570 302222 314355 453333 628710 755555 906666 1511110 2266665 2871109 4533330 5742218 8613327 14355545 17226654 28711090 43066635 86133270