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86847420 = 223511181727
BaseRepresentation
bin1010010110100…
…10111110111100
320001102022021010
411023102332330
5134213104140
612341235220
72103122322
oct513227674
9201368233
1086847420
1145028830
1225102b10
1314cba00a
14b769d12
157957880
hex52d2fbc

86847420 has 96 divisors (see below), whose sum is σ = 267111936. Its totient is φ = 20908800.

The previous prime is 86847403. The next prime is 86847421. The reversal of 86847420 is 2474868.

It is a super-3 number, since 3×868474203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86847421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119097 + ... + 119823.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 286847420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86847420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555968).

86847420 is an abundant number, since it is smaller than the sum of its proper divisors (180264516).

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

86847420 is a wasteful number, since it uses less digits than its factorization.

86847420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 86847420 is about 9319.1963172797. The cubic root of 86847420 is about 442.8455725633.

The spelling of 86847420 in words is "eighty-six million, eight hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 727 905 1086 1454 1810 1991 2172 2181 2715 2908 3620 3635 3982 4362 5430 5973 7270 7964 7997 8724 9955 10860 10905 11946 14540 15994 19910 21810 23892 23991 29865 31988 39820 39985 43620 47982 59730 79970 95964 119460 119955 131587 159940 239910 263174 394761 479820 526348 657935 789522 1315870 1447457 1579044 1973805 2631740 2894914 3947610 4342371 5789828 7237285 7895220 8684742 14474570 17369484 21711855 28949140 43423710 86847420