Search a number
-
+
13432125 = 353721743
BaseRepresentation
bin110011001111…
…010100111101
3221021102102010
4303033110331
511414312000
61155521433
7222112500
oct63172475
927242363
1013432125
117644833
1245b9279
132a23b05
141ad9137
1512a4d50
hexccf53d

13432125 has 96 divisors (see below), whose sum is σ = 28169856. Its totient is φ = 5644800.

The previous prime is 13432121. The next prime is 13432129. The reversal of 13432125 is 52123431.

13432125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13432121) and next prime (13432129).

It is not a de Polignac number, because 13432125 - 22 = 13432121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312354 + ... + 312396.

It is an arithmetic number, because the mean of its divisors is an integer number (293436).

Almost surely, 213432125 is an apocalyptic number.

13432125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13432125 is an abundant number, since it is smaller than the sum of its proper divisors (14737731).

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

13432125 is a wasteful number, since it uses less digits than its factorization.

13432125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 13432125 is about 3664.9863574098. The cubic root of 13432125 is about 237.7104321476.

Adding to 13432125 its reverse (52123431), we get a palindrome (65555556).

The spelling of 13432125 in words is "thirteen million, four hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 43 49 51 75 85 105 119 125 129 147 175 215 245 255 301 357 375 425 525 595 645 731 735 833 875 903 1075 1225 1275 1505 1785 2107 2125 2193 2499 2625 2975 3225 3655 3675 4165 4515 5117 5375 6125 6321 6375 7525 8925 10535 10965 12495 14875 15351 16125 18275 18375 20825 22575 25585 31605 35819 37625 44625 52675 54825 62475 76755 91375 104125 107457 112875 127925 158025 179095 263375 274125 312375 383775 537285 639625 790125 895475 1918875 2686425 4477375 13432125