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12053357 = 1723291063
BaseRepresentation
bin101101111110…
…101101101101
3211200101002122
4231332231231
511041201412
61110202325
7204310661
oct55765555
924611078
1012053357
116892958
1240533a5
132660384
14185a8a1
1510d1572
hexb7eb6d

12053357 has 16 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 10467072.

The previous prime is 12053351. The next prime is 12053383. The reversal of 12053357 is 75335021.

12053357 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12053357 - 24 = 12053341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10808 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 212053357 is an apocalyptic number.

12053357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12053357 is a deficient number, since it is larger than the sum of its proper divisors (1736083).

12053357 is a wasteful number, since it uses less digits than its factorization.

12053357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 12053357 is about 3471.7944927660. The cubic root of 12053357 is about 229.2816719215.

Adding to 12053357 its reverse (75335021), we get a palindrome (87388378).

The spelling of 12053357 in words is "twelve million, fifty-three thousand, three hundred fifty-seven".

Divisors: 1 17 23 29 391 493 667 1063 11339 18071 24449 30827 415633 524059 709021 12053357