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12787120 = 245159839
BaseRepresentation
bin110000110001…
…110110110000
3220001122122001
4300301312300
511233141440
61134023344
7213455143
oct60616660
926048561
1012787120
117244175
124347b54
132859358
1419ac05a
1511c8b9a
hexc31db0

12787120 has 20 divisors (see below), whose sum is σ = 29730240. Its totient is φ = 5114816.

The previous prime is 12787109. The next prime is 12787127. The reversal of 12787120 is 2178721.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12787127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 79840 + ... + 79999.

It is an arithmetic number, because the mean of its divisors is an integer number (1486512).

Almost surely, 212787120 is an apocalyptic number.

12787120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12787120 is an abundant number, since it is smaller than the sum of its proper divisors (16943120).

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

12787120 is a wasteful number, since it uses less digits than its factorization.

12787120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159852 (or 159846 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 12787120 is about 3575.9082762286. The cubic root of 12787120 is about 233.8429315825.

The spelling of 12787120 in words is "twelve million, seven hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 159839 319678 639356 799195 1278712 1598390 2557424 3196780 6393560 12787120