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86678361 = 327111929227
BaseRepresentation
bin1010010101010…
…01101101011001
320001002201100200
411022221231121
5134142201421
612333452413
72101516410
oct512515531
9201081320
1086678361
1144a22810
1225041109
1314c5b093
14b724477
157922726
hex52a9b59

86678361 has 96 divisors (see below), whose sum is σ = 170726400. Its totient is φ = 41005440.

The previous prime is 86678353. The next prime is 86678381. The reversal of 86678361 is 16387668.

86678361 is a nontrivial binomial coefficient, being equal to C(13167, 2).

It is not a de Polignac number, because 86678361 - 23 = 86678353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86678321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381730 + ... + 381956.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 286678361 is an apocalyptic number.

86678361 is the 13166-th triangular number.

It is an amenable number.

86678361 is a deficient number, since it is larger than the sum of its proper divisors (84048039).

86678361 is a wasteful number, since it uses less digits than its factorization.

86678361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86678361 is about 9310.1214277796. The cubic root of 86678361 is about 442.5580350962.

The spelling of 86678361 in words is "eighty-six million, six hundred seventy-eight thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 19 21 29 33 57 63 77 87 99 133 171 203 209 227 231 261 319 399 551 609 627 681 693 957 1197 1463 1589 1653 1827 1881 2043 2233 2497 2871 3857 4313 4389 4767 4959 6061 6583 6699 7491 11571 12939 13167 14301 17479 18183 19749 20097 22473 30191 34713 38817 42427 46081 47443 52437 54549 59247 72413 90573 125077 127281 138243 142329 157311 217239 271719 332101 375231 381843 414729 426987 506891 651717 875539 996303 1125693 1375847 1520673 2626617 2988909 4127541 4562019 7879851 9630929 12382623 28892787 86678361