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13265672 = 237243787
BaseRepresentation
bin110010100110…
…101100001000
3220221222002012
4302212230020
511344000142
61152155052
7220520300
oct62465410
926858065
1013265672
117540772
124538a88
132996114
141a94600
151270882
hexca6b08

13265672 has 48 divisors (see below), whose sum is σ = 29644560. Its totient is φ = 5546016.

The previous prime is 13265663. The next prime is 13265677. The reversal of 13265672 is 27656231.

It is a super-3 number, since 3×132656723 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13265677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16463 + ... + 17249.

It is an arithmetic number, because the mean of its divisors is an integer number (617595).

Almost surely, 213265672 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 13265672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822280).

13265672 is an abundant number, since it is smaller than the sum of its proper divisors (16378888).

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

13265672 is a wasteful number, since it uses less digits than its factorization.

13265672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 13265672 is about 3642.2070232209. The cubic root of 13265672 is about 236.7244329885.

The spelling of 13265672 in words is "thirteen million, two hundred sixty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 602 787 1204 1574 2107 2408 3148 4214 5509 6296 8428 11018 16856 22036 33841 38563 44072 67682 77126 135364 154252 236887 270728 308504 473774 947548 1658209 1895096 3316418 6632836 13265672