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13134672 = 2432531721
BaseRepresentation
bin110010000110…
…101101010000
3220201022101100
4302012231100
511330302142
61145304400
7216433335
oct62065520
926638340
1013134672
117461301
124495100
13294b5c5
141a5c98c
151246b4c
hexc86b50

13134672 has 60 divisors (see below), whose sum is σ = 37474164. Its totient is φ = 4293120.

The previous prime is 13134661. The next prime is 13134683. The reversal of 13134672 is 27643131.

It is an interprime number because it is at equal distance from previous prime (13134661) and next prime (13134683).

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 3549456 = 3096^2 + 1884^2 .

It is a congruent number.

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, 6772 + ... + 8492.

Almost surely, 213134672 is an apocalyptic number.

13134672 is a gapful number since it is divisible by the number (12) 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 13134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737082).

13134672 is an abundant number, since it is smaller than the sum of its proper divisors (24339492).

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

13134672 is a wasteful number, since it uses less digits than its factorization.

13134672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1779 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13134672 is about 3624.1788035361. The cubic root of 13134672 is about 235.9426270570.

The spelling of 13134672 in words is "thirteen million, one hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1721 1908 2544 3442 3816 5163 6884 7632 10326 13768 15489 20652 27536 30978 41304 61956 82608 91213 123912 182426 247824 273639 364852 547278 729704 820917 1094556 1459408 1641834 2189112 3283668 4378224 6567336 13134672