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17920431 = 3217117127
BaseRepresentation
bin100010001011…
…1000110101111
31020201110012200
41010113012233
514041423211
61440032543
7305215104
oct104270657
936643180
1017920431
11a12a981
126002753
133935a09
142546aab
15188eb56
hex11171af

17920431 has 12 divisors (see below), whose sum is σ = 27407952. Its totient is φ = 11244096.

The previous prime is 17920429. The next prime is 17920433. The reversal of 17920431 is 13402971.

It is an interprime number because it is at equal distance from previous prime (17920429) and next prime (17920433).

It is not a de Polignac number, because 17920431 - 21 = 17920429 is a prime.

It is a super-2 number, since 2×179204312 = 642283694451522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17920395 and 17920404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17920433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58411 + ... + 58716.

It is an arithmetic number, because the mean of its divisors is an integer number (2283996).

Almost surely, 217920431 is an apocalyptic number.

17920431 is a deficient number, since it is larger than the sum of its proper divisors (9487521).

17920431 is a wasteful number, since it uses less digits than its factorization.

17920431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117150 (or 117147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 17920431 is about 4233.2530044872. The cubic root of 17920431 is about 261.6874027590.

The spelling of 17920431 in words is "seventeen million, nine hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 117127 351381 1054143 1991159 5973477 17920431