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31066686 = 2337259199
BaseRepresentation
bin111011010000…
…0101000111110
32011110100111000
41312200220332
530423113221
63025511130
7525030300
oct166405076
964410430
1031066686
1116599952
12a4a24a6
136589671
1441a9970
152ad9e26
hex1da0a3e

31066686 has 96 divisors (see below), whose sum is σ = 82080000. Its totient is φ = 8681904.

The previous prime is 31066663. The next prime is 31066687. The reversal of 31066686 is 68666013.

It is a self number, because there is not a number n which added to its sum of digits gives 31066686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31066687) 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 47 ways as a sum of consecutive naturals, for example, 156015 + ... + 156213.

It is an arithmetic number, because the mean of its divisors is an integer number (855000).

Almost surely, 231066686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31066686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040000).

31066686 is an abundant number, since it is smaller than the sum of its proper divisors (51013314).

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

31066686 is a wasteful number, since it uses less digits than its factorization.

31066686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 31066686 is about 5573.7497252747. The cubic root of 31066686 is about 314.3631577947.

The spelling of 31066686 in words is "thirty-one million, sixty-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 199 294 354 378 398 413 441 531 597 826 882 1062 1194 1239 1323 1393 1593 1791 2478 2646 2786 2891 3186 3582 3717 4179 5373 5782 7434 8358 8673 9751 10746 11151 11741 12537 17346 19502 22302 23482 25074 26019 29253 35223 37611 52038 58506 70446 75222 78057 82187 87759 105669 156114 164374 175518 211338 246561 263277 317007 493122 526554 575309 634014 739683 1150618 1479366 1725927 2219049 3451854 4438098 5177781 10355562 15533343 31066686