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927314141 = 13222132117
BaseRepresentation
bin110111010001011…
…011000011011101
32101121220102212012
4313101123003131
53344343023031
6232003321005
731660016525
oct6721330335
92347812765
10927314141
11436498926
1221a680165
1311a16acc0
148b22a685
1556624b2b
hex3745b0dd

927314141 has 8 divisors (see below), whose sum is σ = 999126744. Its totient is φ = 855570240.

The previous prime is 927314119. The next prime is 927314153. The reversal of 927314141 is 141413729.

It can be written as a sum of positive squares in 4 ways, for example, as 1876900 + 925437241 = 1370^2 + 30421^2 .

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 927314141 - 210 = 927313117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 927314098 and 927314107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927314441) 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 7 ways as a sum of consecutive naturals, for example, 12815 + ... + 44931.

It is an arithmetic number, because the mean of its divisors is an integer number (124890843).

Almost surely, 2927314141 is an apocalyptic number.

It is an amenable number.

927314141 is a deficient number, since it is larger than the sum of its proper divisors (71812603).

927314141 is a wasteful number, since it uses less digits than its factorization.

927314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34351.

The product of its digits is 6048, while the sum is 32.

The square root of 927314141 is about 30451.8331303716. The cubic root of 927314141 is about 975.1594360352.

The spelling of 927314141 in words is "nine hundred twenty-seven million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 13 2221 28873 32117 417521 71331857 927314141