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86695040 = 275135461
BaseRepresentation
bin1010010101011…
…01110010000000
320001010120020102
411022231302000
5134143220130
612334101532
72101616135
oct512556200
9201116212
1086695040
1144a342a3
122504a8a8
1314c65853
14b72a58c
157927645
hex52adc80

86695040 has 32 divisors (see below), whose sum is σ = 207256860. Its totient is φ = 34677760.

The previous prime is 86695039. The next prime is 86695051. The reversal of 86695040 is 4059668.

It can be written as a sum of positive squares in 2 ways, for example, as 80425024 + 6270016 = 8968^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 86694985 and 86695003.

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, 67091 + ... + 68370.

Almost surely, 286695040 is an apocalyptic number.

86695040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86695040 is an abundant number, since it is smaller than the sum of its proper divisors (120561820).

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

86695040 is a wasteful number, since it uses less digits than its factorization.

86695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135480 (or 135468 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 86695040 is about 9311.0171302603. The cubic root of 86695040 is about 442.5864195434.

The spelling of 86695040 in words is "eighty-six million, six hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 135461 270922 541844 677305 1083688 1354610 2167376 2709220 4334752 5418440 8669504 10836880 17339008 21673760 43347520 86695040