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134016584 = 231323179313
BaseRepresentation
bin1111111110011…
…10111001001000
3100100011202012012
413333032321020
5233302012314
621144235052
73215056622
oct777167110
9310152165
10134016584
1169715709
1238a6ba88
13219c3a70
1413b27c12
15bb7393e
hex7fcee48

134016584 has 64 divisors (see below), whose sum is σ = 284860800. Its totient is φ = 58646016.

The previous prime is 134016583. The next prime is 134016587. The reversal of 134016584 is 485610431.

It is a self number, because there is not a number n which added to its sum of digits gives 134016584.

It is not an unprimeable number, because it can be changed into a prime (134016581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428012 + ... + 428324.

It is an arithmetic number, because the mean of its divisors is an integer number (4450950).

Almost surely, 2134016584 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 134016584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142430400).

134016584 is an abundant number, since it is smaller than the sum of its proper divisors (150844216).

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

134016584 is a wasteful number, since it uses less digits than its factorization.

134016584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 134016584 is about 11576.5532003269. The cubic root of 134016584 is about 511.7441043033.

The spelling of 134016584 in words is "one hundred thirty-four million, sixteen thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 179 184 299 313 358 598 626 716 1196 1252 1432 2327 2392 2504 4069 4117 4654 7199 8138 8234 9308 14398 16276 16468 18616 28796 32552 32936 53521 56027 57592 93587 107042 112054 187174 214084 224108 374348 428168 448216 728351 748696 1288621 1456702 2577242 2913404 5154484 5826808 10308968 16752073 33504146 67008292 134016584