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75682134 = 233111031237
BaseRepresentation
bin1001000001011…
…01000101010110
312021102001101000
410200231011112
5123333312014
611302044130
71606200423
oct440550526
9167361330
1075682134
11397a2120
1221419646
13128aac38
14a0a0d4a
15699e509
hex482d156

75682134 has 64 divisors (see below), whose sum is σ = 185402880. Its totient is φ = 22692960.

The previous prime is 75682133. The next prime is 75682163. The reversal of 75682134 is 43128657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75682133) 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 31 ways as a sum of consecutive naturals, for example, 60564 + ... + 61800.

It is an arithmetic number, because the mean of its divisors is an integer number (2896920).

Almost surely, 275682134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75682134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92701440).

75682134 is an abundant number, since it is smaller than the sum of its proper divisors (109720746).

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

75682134 is a wasteful number, since it uses less digits than its factorization.

75682134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 75682134 is about 8699.5479192887. The cubic root of 75682134 is about 422.9909962371.

The spelling of 75682134 in words is "seventy-five million, six hundred eighty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 927 1133 1237 1854 2266 2474 2781 3399 3711 5562 6798 7422 10197 11133 13607 20394 22266 27214 30591 33399 40821 61182 66798 81642 122463 127411 244926 254822 367389 382233 734778 764466 1146699 1401521 2293398 2803042 3440097 4204563 6880194 8409126 12613689 25227378 37841067 75682134