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67683460 = 225131715313
BaseRepresentation
bin1000000100011…
…00010010000100
311201100200020211
410002030102010
5114311332320
610414405204
71451204605
oct402142204
9151320224
1067683460
1135229649
121a800804
131103a2b0
148dbbdac
155e1e55a
hex408c484

67683460 has 48 divisors (see below), whose sum is σ = 162083376. Its totient is φ = 23519232.

The previous prime is 67683449. The next prime is 67683523. The reversal of 67683460 is 6438676.

It can be written as a sum of positive squares in 8 ways, for example, as 15872256 + 51811204 = 3984^2 + 7198^2 .

It is an unprimeable number.

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, 3237 + ... + 12076.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 267683460 is an apocalyptic number.

It is an amenable number.

67683460 is an abundant number, since it is smaller than the sum of its proper divisors (94399916).

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

67683460 is a wasteful number, since it uses less digits than its factorization.

67683460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15352 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 67683460 is about 8226.9958064898. The cubic root of 67683460 is about 407.5311880981.

The spelling of 67683460 in words is "sixty-seven million, six hundred eighty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 15313 30626 61252 76565 153130 199069 260321 306260 398138 520642 796276 995345 1041284 1301605 1990690 2603210 3384173 3981380 5206420 6768346 13536692 16920865 33841730 67683460