Search a number
-
+
86069142 = 235409433
BaseRepresentation
bin1010010000101…
…00111110010110
312222221202200000
411020110332112
5134013203032
612312432130
72063401305
oct510247626
9188852600
1086069142
1144647025
12249a8646
1314aa69b3
14b60643c
157851e7c
hex5214f96

86069142 has 48 divisors (see below), whose sum is σ = 194310480. Its totient is φ = 28553472.

The previous prime is 86069131. The next prime is 86069143. The reversal of 86069142 is 24196068.

86069142 is a `hidden beast` number, since 8 + 606 + 9 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86069097 and 86069106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86069143) 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, 198558 + ... + 198990.

It is an arithmetic number, because the mean of its divisors is an integer number (4048135).

Almost surely, 286069142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86069142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97155240).

86069142 is an abundant number, since it is smaller than the sum of its proper divisors (108241338).

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

86069142 is a wasteful number, since it uses less digits than its factorization.

86069142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86069142 is about 9277.3456333156. The cubic root of 86069142 is about 441.5187564683.

The spelling of 86069142 in words is "eighty-six million, sixty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 409 433 486 818 866 1227 1299 2454 2598 3681 3897 7362 7794 11043 11691 22086 23382 33129 35073 66258 70146 99387 105219 177097 198774 210438 354194 531291 1062582 1593873 3187746 4781619 9563238 14344857 28689714 43034571 86069142