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13295072 = 257261139
BaseRepresentation
bin110010101101…
…110111100000
3221000110102002
4302231313200
511400420242
61152543132
7221002100
oct62556740
927013362
1013295072
11756086a
124551aa8
1329a660b
141aa1200
151279432
hexcadde0

13295072 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 5564160.

The previous prime is 13295027. The next prime is 13295077. The reversal of 13295072 is 27059231.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13295077) 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 11 ways as a sum of consecutive naturals, for example, 95579 + ... + 95717.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 213295072 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 13295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

13295072 is an abundant number, since it is smaller than the sum of its proper divisors (17874808).

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

13295072 is a wasteful number, since it uses less digits than its factorization.

13295072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 13295072 is about 3646.2408038965. The cubic root of 13295072 is about 236.8991838588.

The spelling of 13295072 in words is "thirteen million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 139 196 224 244 278 392 427 488 556 784 854 973 976 1112 1568 1708 1946 1952 2224 2989 3416 3892 4448 5978 6811 6832 7784 8479 11956 13622 13664 15568 16958 23912 27244 31136 33916 47824 54488 59353 67832 95648 108976 118706 135664 217952 237412 271328 415471 474824 830942 949648 1661884 1899296 3323768 6647536 13295072