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67114704 = 2434167509
BaseRepresentation
bin1000000000000…
…01011011010000
311200021210001210
410000001123100
5114140132304
610354300120
71443315456
oct400013320
9150253053
1067114704
11349802a8
121a587640
1310b9b457
148cb09d6
155d5ac89
hex40016d0

67114704 has 80 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 21457920.

The previous prime is 67114681. The next prime is 67114709. The reversal of 67114704 is 40741176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67114709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131602 + ... + 132110.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 267114704 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 67114704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

67114704 is an abundant number, since it is smaller than the sum of its proper divisors (113498736).

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

67114704 is a wasteful number, since it uses less digits than its factorization.

67114704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 67114704 is about 8192.3564375581. The cubic root of 67114704 is about 406.3864569133.

The spelling of 67114704 in words is "sixty-seven million, one hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 67 82 123 134 164 201 246 268 328 402 492 509 536 656 804 984 1018 1072 1527 1608 1968 2036 2747 3054 3216 4072 5494 6108 8144 8241 10988 12216 16482 20869 21976 24432 32964 34103 41738 43952 62607 65928 68206 83476 102309 125214 131856 136412 166952 204618 250428 272824 333904 409236 500856 545648 818472 1001712 1398223 1636944 2796446 4194669 5592892 8389338 11185784 16778676 22371568 33557352 67114704