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13440825 = 3252314147
BaseRepresentation
bin110011010001…
…011100111001
3221021212100100
4303101130321
511420101300
61200030013
7222150036
oct63213471
927255310
1013440825
117650322
124602309
132a27a68
141adc38d
1512a7700
hexcd1739

13440825 has 72 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 6624000.

The previous prime is 13440821. The next prime is 13440839. The reversal of 13440825 is 52804431.

13440825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13440825 - 22 = 13440821 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13440821) 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 71 ways as a sum of consecutive naturals, for example, 285952 + ... + 285998.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 213440825 is an apocalyptic number.

13440825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13440825 is a deficient number, since it is larger than the sum of its proper divisors (12557511).

13440825 is a wasteful number, since it uses less digits than its factorization.

13440825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13440825 is about 3666.1730728377. The cubic root of 13440825 is about 237.7617428281.

The spelling of 13440825 in words is "thirteen million, four hundred forty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 41 45 47 75 93 123 141 155 205 225 235 279 369 423 465 615 705 775 1025 1175 1271 1395 1457 1845 1927 2115 2325 3075 3525 3813 4371 5781 6355 6975 7285 9225 9635 10575 11439 13113 17343 19065 21855 28905 31775 36425 48175 57195 59737 65565 86715 95325 109275 144525 179211 285975 298685 327825 433575 537633 896055 1493425 2688165 4480275 13440825