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136000314 = 23229437383
BaseRepresentation
bin10000001101100…
…11001100111010
3100110220112100200
420012303030322
5234304002224
621254543030
73240661242
oct1006631472
9313815320
10136000314
116a85005a
1239667a76
1322239978
14140c2b22
15be165c9
hex81b333a

136000314 has 96 divisors (see below), whose sum is σ = 319999680. Its totient is φ = 41658624.

The previous prime is 136000313. The next prime is 136000331. The reversal of 136000314 is 413000631.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (136000313) 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, 1638517 + ... + 1638599.

It is an arithmetic number, because the mean of its divisors is an integer number (3333330).

Almost surely, 2136000314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136000314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999840).

136000314 is an abundant number, since it is smaller than the sum of its proper divisors (183999366).

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

136000314 is a wasteful number, since it uses less digits than its factorization.

136000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136000314 is about 11661.9172523218. The cubic root of 136000314 is about 514.2567139070.

Adding to 136000314 its reverse (413000631), we get a palindrome (549000945).

The spelling of 136000314 in words is "one hundred thirty-six million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 43 58 73 83 86 87 129 146 166 174 219 249 258 261 387 438 498 522 657 747 774 1247 1314 1494 2117 2407 2494 3139 3569 3741 4234 4814 6059 6278 6351 7138 7221 7482 9417 10707 11223 12118 12702 14442 18177 18834 19053 21414 21663 22446 28251 32121 36354 38106 43326 54531 56502 64242 91031 103501 109062 175711 182062 207002 260537 273093 310503 351422 521074 527133 546186 621006 781611 819279 931509 1054266 1563222 1581399 1638558 1863018 2344833 3162798 4689666 7555573 15111146 22666719 45333438 68000157 136000314