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86424360 = 233511233281
BaseRepresentation
bin1010010011010…
…11101100101000
320000121210221020
411021223230220
5134111034420
612324212440
72066411031
oct511535450
9200553836
1086424360
11448699a0
1224b3a120
1314b9c599
14b699a88
1578c2340
hex526bb28

86424360 has 128 divisors (see below), whose sum is σ = 285068160. Its totient is φ = 20787200.

The previous prime is 86424353. The next prime is 86424383. The reversal of 86424360 is 6342468.

It is a super-3 number, since 3×864243603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 307420 + ... + 307700.

It is an arithmetic number, because the mean of its divisors is an integer number (2227095).

Almost surely, 286424360 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 86424360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142534080).

86424360 is an abundant number, since it is smaller than the sum of its proper divisors (198643800).

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

86424360 is a wasteful number, since it uses less digits than its factorization.

86424360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 86424360 is about 9296.4702979141. The cubic root of 86424360 is about 442.1253236213.

The spelling of 86424360 in words is "eighty-six million, four hundred twenty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 233 264 281 330 440 466 562 660 699 843 932 1124 1165 1320 1398 1405 1686 1864 2248 2330 2563 2796 2810 3091 3372 3495 4215 4660 5126 5592 5620 6182 6744 6990 7689 8430 9273 9320 10252 11240 12364 12815 13980 15378 15455 16860 18546 20504 24728 25630 27960 30756 30910 33720 37092 38445 46365 51260 61512 61820 65473 74184 76890 92730 102520 123640 130946 153780 185460 196419 261892 307560 327365 370920 392838 523784 654730 720203 785676 982095 1309460 1440406 1571352 1964190 2160609 2618920 2880812 3601015 3928380 4321218 5761624 7202030 7856760 8642436 10803045 14404060 17284872 21606090 28808120 43212180 86424360