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20509119 = 34298731
BaseRepresentation
bin100111000111…
…1000110111111
31102120222020000
41032033012333
520222242434
62011325343
7336216231
oct116170677
942528200
1020509119
1110638894
126a50853
134331097
142a1c251
151c01b99
hex138f1bf

20509119 has 20 divisors (see below), whose sum is σ = 31697160. Its totient is φ = 13199760.

The previous prime is 20509117. The next prime is 20509127. The reversal of 20509119 is 91190502.

It is a happy number.

It is not a de Polignac number, because 20509119 - 21 = 20509117 is a prime.

It is a super-2 number, since 2×205091192 = 841247924312322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20509092 and 20509101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20509117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2017 + ... + 6714.

It is an arithmetic number, because the mean of its divisors is an integer number (1584858).

Almost surely, 220509119 is an apocalyptic number.

20509119 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

20509119 is a deficient number, since it is larger than the sum of its proper divisors (11188041).

20509119 is an equidigital number, since it uses as much as digits as its factorization.

20509119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 20509119 is about 4528.6994821913. The cubic root of 20509119 is about 273.7257587842.

The spelling of 20509119 in words is "twenty million, five hundred nine thousand, one hundred nineteen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 8731 26193 78579 235737 253199 707211 759597 2278791 6836373 20509119