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20715417 = 326197389
BaseRepresentation
bin100111100000…
…1011110011001
31102222110012200
41033001132121
520300343132
62020000413
7341035542
oct117013631
942873180
1020715417
1110769888
126b30109
1343a3c58
142a734c9
151c42d7c
hex13c1799

20715417 has 24 divisors (see below), whose sum is σ = 30805320. Its totient is φ = 13409280.

The previous prime is 20715413. The next prime is 20715473. The reversal of 20715417 is 71451702.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 20602521 = 336^2 + 4539^2 .

It is not a de Polignac number, because 20715417 - 22 = 20715413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20715413) 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 23 ways as a sum of consecutive naturals, for example, 53059 + ... + 53447.

It is an arithmetic number, because the mean of its divisors is an integer number (1283555).

Almost surely, 220715417 is an apocalyptic number.

It is an amenable number.

20715417 is a deficient number, since it is larger than the sum of its proper divisors (10089903).

20715417 is a wasteful number, since it uses less digits than its factorization.

20715417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 20715417 is about 4551.4192292075. The cubic root of 20715417 is about 274.6404866793.

The spelling of 20715417 in words is "twenty million, seven hundred fifteen thousand, four hundred seventeen".

Divisors: 1 3 9 61 97 183 291 389 549 873 1167 3501 5917 17751 23729 37733 53253 71187 113199 213561 339597 2301713 6905139 20715417