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13067300 = 2252149877
BaseRepresentation
bin110001110110…
…010000100100
3220120212222002
4301312100210
511321123200
61144024432
7216033041
oct61662044
926525862
1013067300
117415724
124462118
132926a3c
141a421c8
151231bd5
hexc76424

13067300 has 36 divisors (see below), whose sum is σ = 28578900. Its totient is φ = 5185920.

The previous prime is 13067297. The next prime is 13067317. The reversal of 13067300 is 376031.

It can be written as a sum of positive squares in 6 ways, for example, as 379456 + 12687844 = 616^2 + 3562^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14462 + ... + 15338.

Almost surely, 213067300 is an apocalyptic number.

13067300 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 13067300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289450).

13067300 is an abundant number, since it is smaller than the sum of its proper divisors (15511600).

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

13067300 is a wasteful number, since it uses less digits than its factorization.

13067300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 13067300 is about 3614.8720585935. The cubic root of 13067300 is about 235.5385265500.

The spelling of 13067300 in words is "thirteen million, sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 877 1490 1754 2980 3508 3725 4385 7450 8770 14900 17540 21925 43850 87700 130673 261346 522692 653365 1306730 2613460 3266825 6533650 13067300