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86793420 = 22357206651
BaseRepresentation
bin1010010110001…
…01110011001100
320001022120012010
411023011303030
5134204342140
612340141220
72102506020
oct513056314
9201276163
1086793420
1144aa11aa
1225097810
1314c9b56c
14b754380
157946880
hex52c5ccc

86793420 has 48 divisors (see below), whose sum is σ = 277740288. Its totient is φ = 19838400.

The previous prime is 86793409. The next prime is 86793439. The reversal of 86793420 is 2439768.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102906 + ... + 103745.

It is an arithmetic number, because the mean of its divisors is an integer number (5786256).

Almost surely, 286793420 is an apocalyptic number.

It is an amenable number.

86793420 is an abundant number, since it is smaller than the sum of its proper divisors (190946868).

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

86793420 is a wasteful number, since it uses less digits than its factorization.

86793420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206670 (or 206668 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 86793420 is about 9316.2986212336. The cubic root of 86793420 is about 442.7537693411.

The spelling of 86793420 in words is "eighty-six million, seven hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 206651 413302 619953 826604 1033255 1239906 1446557 2066510 2479812 2893114 3099765 4133020 4339671 5786228 6199530 7232785 8679342 12399060 14465570 17358684 21698355 28931140 43396710 86793420