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14314125 = 353721941
BaseRepresentation
bin110110100110…
…101010001101
3222221020021210
4312212222031
512131023000
61230445033
7232445100
oct66465215
928836253
1014314125
118097461
124963779
132c723c7
141c88737
1513cb350
hexda6a8d

14314125 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 6048000.

The previous prime is 14314121. The next prime is 14314127. The reversal of 14314125 is 52141341.

It is not a de Polignac number, because 14314125 - 22 = 14314121 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314121) 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 95 ways as a sum of consecutive naturals, for example, 349105 + ... + 349145.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 214314125 is an apocalyptic number.

14314125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14314125 is an abundant number, since it is smaller than the sum of its proper divisors (15562995).

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

14314125 is a wasteful number, since it uses less digits than its factorization.

14314125 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 480, while the sum is 21.

The square root of 14314125 is about 3783.4012475549. The cubic root of 14314125 is about 242.8034957297.

Adding to 14314125 its reverse (52141341), we get a palindrome (66455466).

The spelling of 14314125 in words is "fourteen million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 41 49 57 75 95 105 123 125 133 147 175 205 245 285 287 375 399 475 525 615 665 735 779 861 875 931 1025 1225 1425 1435 1995 2009 2337 2375 2625 2793 3075 3325 3675 3895 4305 4655 5125 5453 6027 6125 7125 7175 9975 10045 11685 13965 15375 16359 16625 18375 19475 21525 23275 27265 30135 35875 38171 49875 50225 58425 69825 81795 97375 107625 114513 116375 136325 150675 190855 251125 292125 349125 408975 572565 681625 753375 954275 2044875 2862825 4771375 14314125