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13067080 = 2351321933
BaseRepresentation
bin110001110110…
…001101001000
3220120212122221
4301312031020
511321121310
61144023424
7216032305
oct61661510
926525587
1013067080
117415544
124461b74
132926900
141a420ac
151231ada
hexc76348

13067080 has 48 divisors (see below), whose sum is σ = 31852980. Its totient is φ = 4822272.

The previous prime is 13067063. The next prime is 13067099. The reversal of 13067080 is 8076031.

It can be written as a sum of positive squares in 6 ways, for example, as 2137444 + 10929636 = 1462^2 + 3306^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5794 + ... + 7726.

Almost surely, 213067080 is an apocalyptic number.

13067080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13067080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926490).

13067080 is an abundant number, since it is smaller than the sum of its proper divisors (18785900).

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

13067080 is a wasteful number, since it uses less digits than its factorization.

13067080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13067080 is about 3614.8416286194. The cubic root of 13067080 is about 235.5372047068.

The spelling of 13067080 in words is "thirteen million, sixty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 1933 3380 3866 6760 7732 9665 15464 19330 25129 38660 50258 77320 100516 125645 201032 251290 326677 502580 653354 1005160 1306708 1633385 2613416 3266770 6533540 13067080