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13431825 = 36521167
BaseRepresentation
bin110011001111…
…010000010001
3221021102000000
4303033100101
511414304300
61155520213
7222111561
oct63172021
927242000
1013431825
117644590
1245b9069
132a23934
141ad8da1
1512a4c00
hexccf411

13431825 has 84 divisors (see below), whose sum is σ = 27648528. Its totient is φ = 6415200.

The previous prime is 13431811. The next prime is 13431857. The reversal of 13431825 is 52813431.

It is a happy number.

13431825 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 13431825 - 28 = 13431569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 200442 + ... + 200508.

Almost surely, 213431825 is an apocalyptic number.

13431825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13431825 is an abundant number, since it is smaller than the sum of its proper divisors (14216703).

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

13431825 is an equidigital number, since it uses as much as digits as its factorization.

13431825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13431825 is about 3664.9454293345. The cubic root of 13431825 is about 237.7086624187.

The spelling of 13431825 in words is "thirteen million, four hundred thirty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 67 75 81 99 135 165 201 225 243 275 297 335 405 495 603 675 729 737 825 891 1005 1215 1485 1675 1809 2025 2211 2475 2673 3015 3645 3685 4455 5025 5427 6075 6633 7425 8019 9045 11055 13365 15075 16281 18225 18425 19899 22275 27135 33165 40095 45225 48843 55275 59697 66825 81405 99495 135675 165825 179091 200475 244215 298485 407025 497475 537273 895455 1221075 1492425 2686365 4477275 13431825