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86371029 = 348911981
BaseRepresentation
bin1010010010111…
…10101011010101
320000112002210000
411021132223111
5134102333104
612323121513
72066066403
oct511365325
9200462700
1086371029
1144832918
1224b13299
1314b81224
14b684473
1578b1639
hex525ead5

86371029 has 20 divisors (see below), whose sum is σ = 130483980. Its totient is φ = 56928960.

The previous prime is 86371027. The next prime is 86371037. The reversal of 86371029 is 92017368.

86371029 is a `hidden beast` number, since 8 + 637 + 10 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 31640625 = 7398^2 + 5625^2 .

It is not a de Polignac number, because 86371029 - 21 = 86371027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86370984 and 86371002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86371027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1219 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (6524199).

Almost surely, 286371029 is an apocalyptic number.

86371029 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

86371029 is a deficient number, since it is larger than the sum of its proper divisors (44112951).

86371029 is a wasteful number, since it uses less digits than its factorization.

86371029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12082 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86371029 is about 9293.6015085649. The cubic root of 86371029 is about 442.0343622405.

The spelling of 86371029 in words is "eighty-six million, three hundred seventy-one thousand, twenty-nine".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 11981 35943 107829 323487 970461 1066309 3198927 9596781 28790343 86371029