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86973012 = 22327714861
BaseRepresentation
bin1010010111100…
…01101001010100
320001122200112200
411023301221110
5134231114022
612344044500
72104154430
oct513615124
9201580480
1086973012
1145104125
1225163730
1315032229
14b79d9c0
15797ebac
hex52f1a54

86973012 has 72 divisors (see below), whose sum is σ = 254846592. Its totient is φ = 24494400.

The previous prime is 86972999. The next prime is 86973017. The reversal of 86973012 is 21037968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86973017) 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, 15462 + ... + 20322.

It is an arithmetic number, because the mean of its divisors is an integer number (3539536).

Almost surely, 286973012 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 86973012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127423296).

86973012 is an abundant number, since it is smaller than the sum of its proper divisors (167873580).

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

86973012 is a wasteful number, since it uses less digits than its factorization.

86973012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86973012 is about 9325.9322322221. The cubic root of 86973012 is about 443.0589393798.

The spelling of 86973012 in words is "eighty-six million, nine hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 4861 5964 8946 9722 14583 17892 19444 29166 34027 43749 58332 68054 87498 102081 136108 174996 204162 306243 345131 408324 612486 690262 1035393 1224972 1380524 2070786 2415917 3106179 4141572 4831834 6212358 7247751 9663668 12424716 14495502 21743253 28991004 43486506 86973012