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86968134 = 23311413571
BaseRepresentation
bin1010010111100…
…00011101000110
320001122102212000
411023300131012
5134230440014
612344010130
72104134261
oct513603506
9201572760
1086968134
11451004a0
1225160946
131502cc46
14b79bcd8
15797d509
hex52f0746

86968134 has 64 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 25704000.

The previous prime is 86968117. The next prime is 86968139. The reversal of 86968134 is 43186968.

It is a super-3 number, since 3×869681343 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86968134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86968139) 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 31 ways as a sum of consecutive naturals, for example, 22569 + ... + 26139.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 286968134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86968134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108017280).

86968134 is an abundant number, since it is smaller than the sum of its proper divisors (129066426).

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

86968134 is a wasteful number, since it uses less digits than its factorization.

86968134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3628 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 86968134 is about 9325.6706997406. The cubic root of 86968134 is about 443.0506560367.

The spelling of 86968134 in words is "eighty-six million, nine hundred sixty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 3571 4059 7142 8118 10713 12177 21426 24354 32139 39281 64278 78562 96417 117843 146411 192834 235686 292822 353529 439233 707058 878466 1060587 1317699 1610521 2121174 2635398 3221042 3953097 4831563 7906194 9663126 14494689 28989378 43484067 86968134