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86913666 = 232737103181
BaseRepresentation
bin1010010111000…
…11001010000010
320001112200010200
411023203022002
5134222214131
612342510030
72103516420
oct513431202
9201480120
1086913666
1145073584
1225135316
1315011208
14b786110
15796c2e6
hex52e3282

86913666 has 96 divisors (see below), whose sum is σ = 224410368. Its totient is φ = 23794560.

The previous prime is 86913661. The next prime is 86913683. The reversal of 86913666 is 66631968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86913661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480096 + ... + 480276.

It is an arithmetic number, because the mean of its divisors is an integer number (2337608).

Almost surely, 286913666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86913666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112205184).

86913666 is an abundant number, since it is smaller than the sum of its proper divisors (137496702).

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

86913666 is a wasteful number, since it uses less digits than its factorization.

86913666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 86913666 is about 9322.7499161996. The cubic root of 86913666 is about 442.9581427534.

It can be divided in two parts, 869 and 13666, that added together give a triangular number (14535 = T170).

The spelling of 86913666 in words is "eighty-six million, nine hundred thirteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 103 111 126 181 206 222 259 309 333 362 518 543 618 666 721 777 927 1086 1267 1442 1554 1629 1854 2163 2331 2534 3258 3801 3811 4326 4662 6489 6697 7602 7622 11403 11433 12978 13394 18643 20091 22806 22866 26677 34299 37286 40182 46879 53354 55929 60273 68598 80031 93758 111858 120546 130501 140637 160062 167787 240093 261002 281274 335574 391503 421911 480186 689791 783006 843822 1174509 1379582 2069373 2349018 4138746 4828537 6208119 9657074 12416238 14485611 28971222 43456833 86913666