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86016330 = 23451031031
BaseRepresentation
bin1010010000010…
…00000101001010
312222212002020000
411020020011022
5134010010310
612311343430
72063061321
oct510100512
9188762200
1086016330
1144610384
1224981b76
1314a8894a
14b5d10b8
1578414c0
hex520814a

86016330 has 80 divisors (see below), whose sum is σ = 233760384. Its totient is φ = 22692960.

The previous prime is 86016317. The next prime is 86016341. The reversal of 86016330 is 3361068.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86016294 and 86016303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82915 + ... + 83945.

Almost surely, 286016330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86016330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116880192).

86016330 is an abundant number, since it is smaller than the sum of its proper divisors (147744054).

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

86016330 is a wasteful number, since it uses less digits than its factorization.

86016330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 86016330 is about 9274.4989082969. The cubic root of 86016330 is about 441.4284327323.

Adding to 86016330 its reverse (3361068), we get a palindrome (89377398).

The spelling of 86016330 in words is "eighty-six million, sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 270 309 405 515 618 810 927 1030 1031 1545 1854 2062 2781 3090 3093 4635 5155 5562 6186 8343 9270 9279 10310 13905 15465 16686 18558 27810 27837 30930 41715 46395 55674 83430 83511 92790 106193 139185 167022 212386 278370 318579 417555 530965 637158 835110 955737 1061930 1592895 1911474 2867211 3185790 4778685 5734422 8601633 9557370 14336055 17203266 28672110 43008165 86016330