Search a number
-
+
86698080 = 2533574761
BaseRepresentation
bin1010010101011…
…10100001100000
320001010201102000
411022232201200
5134143314310
612334124000
72101631040
oct512564140
9201121360
1086698080
1144a36607
1225050600
1314c67051
14b72b720
1579284c0
hex52ae860

86698080 has 384 divisors, whose sum is σ = 359976960. Its totient is φ = 19077120.

The previous prime is 86698061. The next prime is 86698093. The reversal of 86698080 is 8089668.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1421250 + ... + 1421310.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 286698080 is an apocalyptic number.

86698080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

86698080 is an abundant number, since it is smaller than the sum of its proper divisors (273278880).

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

86698080 is a wasteful number, since it uses less digits than its factorization.

86698080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 86698080 is about 9311.1803763003. The cubic root of 86698080 is about 442.5915926459.

The spelling of 86698080 in words is "eighty-six million, six hundred ninety-eight thousand, eighty".