Search a number
-
+
86320356 = 223172914591
BaseRepresentation
bin1010010010100…
…10010011100100
320000102112021020
411021102103210
5134044222411
612322051140
72065465563
oct511222344
9200375236
1086320356
11447a8841
1224aa9ab0
1314b64145
14b66dbda
1578a1606
hex52524e4

86320356 has 48 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 26145280.

The previous prime is 86320343. The next prime is 86320369. The reversal of 86320356 is 65302368.

It is an interprime number because it is at equal distance from previous prime (86320343) and next prime (86320369).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1380 + ... + 13211.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 286320356 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 86320356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

86320356 is an abundant number, since it is smaller than the sum of its proper divisors (134310684).

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

86320356 is a wasteful number, since it uses less digits than its factorization.

86320356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 86320356 is about 9290.8748780726. The cubic root of 86320356 is about 441.9478996485.

The spelling of 86320356 in words is "eighty-six million, three hundred twenty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 14591 29182 43773 58364 87546 175092 248047 423139 496094 744141 846278 992188 1269417 1488282 1692556 2538834 2976564 5077668 7193363 14386726 21580089 28773452 43160178 86320356