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86136000 = 263533797
BaseRepresentation
bin1010010001001…
…01010011000000
320000002011101020
411020211103000
5134022323000
612314105440
72064100236
oct510452300
9200064336
1086136000
1144692285
1224a1b280
1314acb262
14b622956
157866ba0
hex52254c0

86136000 has 224 divisors, whose sum is σ = 295119552. Its totient is φ = 22118400.

The previous prime is 86135999. The next prime is 86136019. The reversal of 86136000 is 63168.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887952 + ... + 888048.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 286136000 is an apocalyptic number.

86136000 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 86136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776).

86136000 is an abundant number, since it is smaller than the sum of its proper divisors (208983552).

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

86136000 is a wasteful number, since it uses less digits than its factorization.

86136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 86136000 is about 9280.9482274173. The cubic root of 86136000 is about 441.6330499314.

Adding to 86136000 its reverse (63168), we get a palindrome (86199168).

The spelling of 86136000 in words is "eighty-six million, one hundred thirty-six thousand".