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12053873 = 132294049
BaseRepresentation
bin101101111110…
…110101110001
3211200101210202
4231332311301
511041210443
61110204545
7204312326
oct55766561
924611722
1012053873
116893287
124053755
132660690
14185ab4d
1510d17b8
hexb7ed71

12053873 has 8 divisors (see below), whose sum is σ = 13041000. Its totient is φ = 11075328.

The previous prime is 12053861. The next prime is 12053887. The reversal of 12053873 is 37835021.

12053873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1216609 + 10837264 = 1103^2 + 3292^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12053873 - 28 = 12053617 is a prime.

It is a super-3 number, since 3×120538733 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12056873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 953 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (1630125).

Almost surely, 212053873 is an apocalyptic number.

12053873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12053873 is a deficient number, since it is larger than the sum of its proper divisors (987127).

12053873 is a wasteful number, since it uses less digits than its factorization.

12053873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 12053873 is about 3471.8688051250. The cubic root of 12053873 is about 229.2849436976.

Adding to 12053873 its reverse (37835021), we get a palindrome (49888894).

The spelling of 12053873 in words is "twelve million, fifty-three thousand, eight hundred seventy-three".

Divisors: 1 13 229 2977 4049 52637 927221 12053873