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86360274 = 232711134793
BaseRepresentation
bin1010010010111…
…00000011010010
320000111120000200
411021130003102
5134102012044
612323000030
72066023140
oct511340322
9200446020
1086360274
1144825830
1224b09016
1314b79370
14b680590
1578ad369
hex525c0d2

86360274 has 96 divisors (see below), whose sum is σ = 251282304. Its totient is φ = 20701440.

The previous prime is 86360273. The next prime is 86360299. The reversal of 86360274 is 47206368.

It is not an unprimeable number, because it can be changed into a prime (86360273) 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, 15622 + ... + 20414.

It is an arithmetic number, because the mean of its divisors is an integer number (2617524).

Almost surely, 286360274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86360274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125641152).

86360274 is an abundant number, since it is smaller than the sum of its proper divisors (164922030).

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

86360274 is a wasteful number, since it uses less digits than its factorization.

86360274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 86360274 is about 9293.0228666457. The cubic root of 86360274 is about 442.0160139704.

The spelling of 86360274 in words is "eighty-six million, three hundred sixty thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 4793 6006 9009 9586 14379 18018 28758 33551 43137 52723 62309 67102 86274 100653 105446 124618 158169 186927 201306 301959 316338 369061 373854 436163 474507 560781 603918 685399 738122 872326 949014 1107183 1121562 1308489 1370798 2056197 2214366 2616978 3321549 3925467 4112394 4797793 6168591 6643098 7850934 9595586 12337182 14393379 28786758 43180137 86360274