Search a number
-
+
12057975 = 325253591
BaseRepresentation
bin101101111111…
…110101110111
3211200121102200
4231333311313
511041323400
61110235543
7204330306
oct55776567
924617380
1012057975
116896376
124055bb3
1326624c7
14185c43d
1510d2b00
hexb7fd77

12057975 has 18 divisors (see below), whose sum is σ = 21597576. Its totient is φ = 6430800.

The previous prime is 12057949. The next prime is 12057979. The reversal of 12057975 is 57975021.

12057975 is a `hidden beast` number, since 12 + 0 + 579 + 75 = 666.

12057975 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12057975 - 27 = 12057847 is a prime.

It is a super-2 number, since 2×120579752 = 290789522201250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26571 + ... + 27020.

Almost surely, 212057975 is an apocalyptic number.

12057975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12057975 is a deficient number, since it is larger than the sum of its proper divisors (9539601).

12057975 is a wasteful number, since it uses less digits than its factorization.

12057975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53607 (or 53599 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 12057975 is about 3472.4595030036. The cubic root of 12057975 is about 229.3109497282.

It can be divided in two parts, 1205 and 7975, that added together give a triangular number (9180 = T135).

The spelling of 12057975 in words is "twelve million, fifty-seven thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 53591 160773 267955 482319 803865 1339775 2411595 4019325 12057975