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13067760 = 243554449
BaseRepresentation
bin110001110110…
…010111110000
3220120220121010
4301312113300
511321132020
61144030520
7216034266
oct61662760
926526533
1013067760
117416002
124462440
132927004
141a42436
151231de0
hexc765f0

13067760 has 40 divisors (see below), whose sum is σ = 40510800. Its totient is φ = 3484672.

The previous prime is 13067759. The next prime is 13067767. The reversal of 13067760 is 6776031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067767) 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 7 ways as a sum of consecutive naturals, for example, 26985 + ... + 27464.

It is an arithmetic number, because the mean of its divisors is an integer number (1012770).

Almost surely, 213067760 is an apocalyptic number.

13067760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13067760 is an abundant number, since it is smaller than the sum of its proper divisors (27443040).

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

13067760 is a wasteful number, since it uses less digits than its factorization.

13067760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54465 (or 54459 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 13067760 is about 3614.9356840752. The cubic root of 13067760 is about 235.5412903561.

The spelling of 13067760 in words is "thirteen million, sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54449 108898 163347 217796 272245 326694 435592 544490 653388 816735 871184 1088980 1306776 1633470 2177960 2613552 3266940 4355920 6533880 13067760