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86170968 = 233213432141
BaseRepresentation
bin1010010001011…
…01110101011000
320000010221100100
411020231311120
5134024432333
612314535400
72064304212
oct510556530
9200127310
1086170968
1144706584
1224a37560
1314b11150
14b6315b2
157872213
hex522dd58

86170968 has 96 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 25885440.

The previous prime is 86170967. The next prime is 86170993. The reversal of 86170968 is 86907168.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86170961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39178 + ... + 41318.

Almost surely, 286170968 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 86170968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

86170968 is an abundant number, since it is smaller than the sum of its proper divisors (171126072).

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

86170968 is a wasteful number, since it uses less digits than its factorization.

86170968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86170968 is about 9282.8318954940. The cubic root of 86170968 is about 441.6928040226.

The spelling of 86170968 in words is "eighty-six million, one hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2141 2236 3096 3354 4282 4472 5031 6423 6708 8564 10062 12846 13416 17128 19269 20124 25692 27833 38538 40248 51384 55666 77076 83499 92063 111332 154152 166998 184126 222664 250497 276189 333996 368252 500994 552378 667992 736504 828567 1001988 1104756 1196819 1657134 2003976 2209512 2393638 3314268 3590457 4787276 6628536 7180914 9574552 10771371 14361828 21542742 28723656 43085484 86170968