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85436080 = 2451067951
BaseRepresentation
bin1010001011110…
…10011010110000
312221202121021021
411011322122300
5133332423310
612251105224
72055123532
oct505723260
9187677237
1085436080
1144254434
1224742214
13149147c2
14b4bd852
1577795da
hex517a6b0

85436080 has 20 divisors (see below), whose sum is σ = 198639072. Its totient is φ = 34174400.

The previous prime is 85436069. The next prime is 85436081. The reversal of 85436080 is 8063458.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (85436081) 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, 533896 + ... + 534055.

Almost surely, 285436080 is an apocalyptic number.

85436080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85436080 is an abundant number, since it is smaller than the sum of its proper divisors (113202992).

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

85436080 is a wasteful number, since it uses less digits than its factorization.

85436080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067964 (or 1067958 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85436080 is about 9243.1639604629. The cubic root of 85436080 is about 440.4335946157.

The spelling of 85436080 in words is "eighty-five million, four hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1067951 2135902 4271804 5339755 8543608 10679510 17087216 21359020 42718040 85436080