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86310945 = 3257412163
BaseRepresentation
bin1010010010100…
…00000000100001
320000102001100200
411021100000201
5134043422240
612321535413
72065426260
oct511200041
9200361320
1086310945
11447a1766
1224aa4569
1314b5ca86
14b66a5d7
15789d930
hex5250021

86310945 has 72 divisors (see below), whose sum is σ = 176324928. Its totient is φ = 38257920.

The previous prime is 86310929. The next prime is 86311003. The reversal of 86310945 is 54901368.

It is not a de Polignac number, because 86310945 - 24 = 86310929 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529434 + ... + 529596.

Almost surely, 286310945 is an apocalyptic number.

It is an amenable number.

86310945 is an abundant number, since it is smaller than the sum of its proper divisors (90013983).

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

86310945 is a wasteful number, since it uses less digits than its factorization.

86310945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86310945 is about 9290.3683995846. The cubic root of 86310945 is about 441.9318380726.

The spelling of 86310945 in words is "eighty-six million, three hundred ten thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 163 205 287 315 369 489 615 815 861 1141 1435 1467 1681 1845 2445 2583 3423 4305 5043 5705 6683 7335 8405 10269 11767 12915 15129 17115 20049 25215 33415 35301 46781 51345 58835 60147 75645 100245 105903 140343 176505 233905 274003 300735 421029 529515 701715 822009 1370015 1918021 2105145 2466027 4110045 5754063 9590105 12330135 17262189 28770315 86310945