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12800025 = 35527243
BaseRepresentation
bin110000110101…
…000000011001
3220002022100000
4300311000121
511234100100
61134203213
7213540600
oct60650031
926068300
1012800025
117252937
124353509
1328621a4
1419b2a37
1511cc900
hexc35019

12800025 has 108 divisors (see below), whose sum is σ = 28300272. Its totient is φ = 5715360.

The previous prime is 12800017. The next prime is 12800041. The reversal of 12800025 is 52000821.

It is not a de Polignac number, because 12800025 - 23 = 12800017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12799980 and 12800007.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 297654 + ... + 297696.

Almost surely, 212800025 is an apocalyptic number.

12800025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12800025 is an abundant number, since it is smaller than the sum of its proper divisors (15500247).

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

12800025 is an equidigital number, since it uses as much as digits as its factorization.

12800025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12800025 is about 3577.7122578542. The cubic root of 12800025 is about 233.9215713495.

Adding to 12800025 its reverse (52000821), we get a palindrome (64800846).

It can be divided in two parts, 128000 and 25, that multiplied together give a 5-th power (3200000 = 205).

The spelling of 12800025 in words is "twelve million, eight hundred thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 49 63 75 81 105 129 135 147 175 189 215 225 243 245 301 315 387 405 441 525 567 645 675 735 903 945 1075 1161 1215 1225 1323 1505 1575 1701 1935 2025 2107 2205 2709 2835 3225 3483 3675 3969 4515 4725 5805 6075 6321 6615 7525 8127 8505 9675 10449 10535 11025 11907 13545 14175 17415 18963 19845 22575 24381 29025 31605 33075 40635 42525 52245 52675 56889 59535 67725 73143 87075 94815 99225 121905 158025 170667 203175 261225 284445 297675 365715 474075 512001 609525 853335 1422225 1828575 2560005 4266675 12800025