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13067424 = 2532172157
BaseRepresentation
bin110001110110…
…010010100000
3220120220010200
4301312102200
511321124144
61144025200
7216033306
oct61662240
926526120
1013067424
117415827
124462200
132926b06
141a42276
151231c69
hexc764a0

13067424 has 108 divisors (see below), whose sum is σ = 39726414. Its totient is φ = 4073472.

The previous prime is 13067423. The next prime is 13067447. The reversal of 13067424 is 42476031.

It can be written as a sum of positive squares in 3 ways, for example, as 12531600 + 535824 = 3540^2 + 732^2 .

It is not an unprimeable number, because it can be changed into a prime (13067423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83154 + ... + 83310.

Almost surely, 213067424 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 13067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863207).

13067424 is an abundant number, since it is smaller than the sum of its proper divisors (26658990).

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

13067424 is a wasteful number, since it uses less digits than its factorization.

13067424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13067424 is about 3614.8892099205. The cubic root of 13067424 is about 235.5392715824.

The spelling of 13067424 in words is "thirteen million, sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 157 204 272 288 289 306 314 408 471 544 578 612 628 816 867 942 1156 1224 1256 1413 1632 1734 1884 2312 2448 2512 2601 2669 2826 3468 3768 4624 4896 5024 5202 5338 5652 6936 7536 8007 9248 10404 10676 11304 13872 15072 16014 20808 21352 22608 24021 27744 32028 41616 42704 45216 45373 48042 64056 83232 85408 90746 96084 128112 136119 181492 192168 256224 272238 362984 384336 408357 544476 725968 768672 816714 1088952 1451936 1633428 2177904 3266856 4355808 6533712 13067424