Search a number
-
+
86486080 = 265270269
BaseRepresentation
bin1010010011110…
…10110001000000
320000201221121011
411021322301000
5134120023310
612325410304
72100056002
oct511726100
9200657534
1086486080
11449012aa
1224b69994
1314bc16c5
14b6b4372
1578d578a
hex527ac40

86486080 has 28 divisors (see below), whose sum is σ = 205945740. Its totient is φ = 34594304.

The previous prime is 86486077. The next prime is 86486107. The reversal of 86486080 is 8068468.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13075456 + 73410624 = 3616^2 + 8568^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 134815 + ... + 135454.

It is an arithmetic number, because the mean of its divisors is an integer number (7355205).

Almost surely, 286486080 is an apocalyptic number.

86486080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86486080 is an abundant number, since it is smaller than the sum of its proper divisors (119459660).

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

86486080 is a wasteful number, since it uses less digits than its factorization.

86486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270286 (or 270276 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 86486080 is about 9299.7892449238. The cubic root of 86486080 is about 442.2305465841.

The spelling of 86486080 in words is "eighty-six million, four hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 270269 540538 1081076 1351345 2162152 2702690 4324304 5405380 8648608 10810760 17297216 21621520 43243040 86486080