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12805120 = 21054161
BaseRepresentation
bin110000110110…
…010000000000
3220002120022201
4300312100000
511234230440
61134242544
7213561466
oct60662000
926076281
1012805120
117256749
124356454
1328645c3
1419b4836
1511ce19a
hexc36400

12805120 has 88 divisors (see below), whose sum is σ = 31982328. Its totient is φ = 4915200.

The previous prime is 12805087. The next prime is 12805127. The reversal of 12805120 is 2150821.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 11943936 = 928^2 + 3456^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209890 + ... + 209950.

Almost surely, 212805120 is an apocalyptic number.

12805120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991164).

12805120 is an abundant number, since it is smaller than the sum of its proper divisors (19177208).

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

12805120 is an equidigital number, since it uses as much as digits as its factorization.

12805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12805120 is about 3578.4242342126. The cubic root of 12805120 is about 233.9526044219.

Adding to 12805120 its reverse (2150821), we get a palindrome (14955941).

It can be divided in two parts, 1280 and 5120, that multiplied together give a square (6553600 = 25602).

The spelling of 12805120 in words is "twelve million, eight hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 61 64 80 82 122 128 160 164 205 244 256 305 320 328 410 488 512 610 640 656 820 976 1024 1220 1280 1312 1640 1952 2440 2501 2560 2624 3280 3904 4880 5002 5120 5248 6560 7808 9760 10004 10496 12505 13120 15616 19520 20008 20992 25010 26240 31232 39040 40016 41984 50020 52480 62464 78080 80032 100040 104960 156160 160064 200080 209920 312320 320128 400160 640256 800320 1280512 1600640 2561024 3201280 6402560 12805120