Search a number
-
+
86540076 = 2235722379
BaseRepresentation
bin1010010100001…
…11111100101100
320000211200200000
411022013330230
5134123240301
612330504300
72100402300
oct512077454
9200750600
1086540076
1144938927
1224b95090
1314c1015c
14b6c9d00
1578e6786
hex5287f2c

86540076 has 216 divisors, whose sum is σ = 278853120. Its totient is φ = 23351328.

The previous prime is 86540071. The next prime is 86540093. The reversal of 86540076 is 67004568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86540076.

It is not an unprimeable number, because it can be changed into a prime (86540071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1095405 + ... + 1095483.

Almost surely, 286540076 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 86540076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

86540076 is an abundant number, since it is smaller than the sum of its proper divisors (192313044).

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

86540076 is a wasteful number, since it uses less digits than its factorization.

86540076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86540076 is about 9302.6918684862. The cubic root of 86540076 is about 442.3225602851.

The spelling of 86540076 in words is "eighty-six million, five hundred forty thousand, seventy-six".