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86069424 = 24371272017
BaseRepresentation
bin1010010000101…
…01000010110000
312222221210001110
411020111002300
5134013210144
612312433320
72063402160
oct510250260
9188853043
1086069424
1144647261
12249a8840
1314aa6b6c
14b6065a0
1578520b9
hex52150b0

86069424 has 80 divisors (see below), whose sum is σ = 256237568. Its totient is φ = 24385536.

The previous prime is 86069413. The next prime is 86069429. The reversal of 86069424 is 42496068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86069429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41664 + ... + 43680.

Almost surely, 286069424 is an apocalyptic number.

86069424 is a gapful number since it is divisible by the number (84) 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 86069424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128118784).

86069424 is an abundant number, since it is smaller than the sum of its proper divisors (170168144).

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

86069424 is a wasteful number, since it uses less digits than its factorization.

86069424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 86069424 is about 9277.3608316159. The cubic root of 86069424 is about 441.5192386704.

The spelling of 86069424 in words is "eighty-six million, sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2017 2032 2667 3048 3556 4034 5334 6051 6096 7112 8068 10668 12102 14119 14224 16136 21336 24204 28238 32272 42357 42672 48408 56476 84714 96816 112952 169428 225904 256159 338856 512318 677712 768477 1024636 1536954 1793113 2049272 3073908 3586226 4098544 5379339 6147816 7172452 10758678 12295632 14344904 21517356 28689808 43034712 86069424