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86219140 = 22572272713
BaseRepresentation
bin1010010001110…
…01100110000100
320000020101102111
411020321212010
5134033003030
612315550404
72064564520
oct510714604
9200211374
1086219140
1144739797
1224a5b404
1314b2a057
14b644d80
15788162a
hex5239984

86219140 has 48 divisors (see below), whose sum is σ = 207914112. Its totient is φ = 29419776.

The previous prime is 86219123. The next prime is 86219141. The reversal of 86219140 is 4191268.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86219141) 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 15 ways as a sum of consecutive naturals, for example, 30424 + ... + 33136.

It is an arithmetic number, because the mean of its divisors is an integer number (4331544).

Almost surely, 286219140 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 86219140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103957056).

86219140 is an abundant number, since it is smaller than the sum of its proper divisors (121694972).

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

86219140 is a wasteful number, since it uses less digits than its factorization.

86219140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 86219140 is about 9285.4262153118. The cubic root of 86219140 is about 441.7750949326.

It can be divided in two parts, 862 and 19140, that added together give a palindrome (20002).

The spelling of 86219140 in words is "eighty-six million, two hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1589 2270 2713 3178 4540 5426 6356 7945 10852 13565 15890 18991 27130 31780 37982 54260 75964 94955 189910 379820 615851 1231702 2463404 3079255 4310957 6158510 8621914 12317020 17243828 21554785 43109570 86219140