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13295016 = 23357977
BaseRepresentation
bin110010101101…
…110110101000
3221000110100000
4302231312220
511400420031
61152543000
7221001660
oct62556650
927013300
1013295016
117560819
124551a60
1329a6597
141aa11a0
1512793e6
hexcadda8

13295016 has 96 divisors (see below), whose sum is σ = 42719040. Its totient is φ = 3794688.

The previous prime is 13294999. The next prime is 13295027. The reversal of 13295016 is 61059231.

13295016 = 233 + 243 + ... + 853.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13120 + ... + 14096.

It is an arithmetic number, because the mean of its divisors is an integer number (444990).

Almost surely, 213295016 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 13295016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359520).

13295016 is an abundant number, since it is smaller than the sum of its proper divisors (29424024).

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

13295016 is an equidigital number, since it uses as much as digits as its factorization.

13295016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13295016 is about 3646.2331247467. The cubic root of 13295016 is about 236.8988512450.

The spelling of 13295016 in words is "thirteen million, two hundred ninety-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 977 1134 1512 1701 1944 1954 2268 2931 3402 3908 4536 5862 6804 6839 7816 8793 11724 13608 13678 17586 20517 23448 26379 27356 35172 41034 52758 54712 61551 70344 79137 82068 105516 123102 158274 164136 184653 211032 237411 246204 316548 369306 474822 492408 553959 633096 738612 949644 1107918 1477224 1661877 1899288 2215836 3323754 4431672 6647508 13295016