Search a number
-
+
86924960 = 255543281
BaseRepresentation
bin1010010111001…
…01111010100000
320001120020121222
411023211322200
5134223044320
612343034212
72103564353
oct513457240
9201506558
1086924960
1145081011
122513b968
13150163b5
14b78a29a
157970825
hex52e5ea0

86924960 has 24 divisors (see below), whose sum is σ = 205360596. Its totient is φ = 34769920.

The previous prime is 86924947. The next prime is 86924963. The reversal of 86924960 is 6942968.

It can be written as a sum of positive squares in 2 ways, for example, as 86341264 + 583696 = 9292^2 + 764^2 .

It is not an unprimeable number, because it can be changed into a prime (86924963) 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 3 ways as a sum of consecutive naturals, for example, 271481 + ... + 271800.

Almost surely, 286924960 is an apocalyptic number.

86924960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86924960 is an abundant number, since it is smaller than the sum of its proper divisors (118435636).

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

86924960 is a wasteful number, since it uses less digits than its factorization.

86924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543296 (or 543288 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 86924960 is about 9323.3556190891. The cubic root of 86924960 is about 442.9773286606.

The spelling of 86924960 in words is "eighty-six million, nine hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 543281 1086562 2173124 2716405 4346248 5432810 8692496 10865620 17384992 21731240 43462480 86924960