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20717541 = 3213253257
BaseRepresentation
bin100111100000…
…1111111100101
31102222120010100
41033001333211
520300430131
62020014313
7341044665
oct117017745
942876110
1020717541
1110770439
126b31399
1343a4c00
142a741a5
151c437e6
hex13c1fe5

20717541 has 36 divisors (see below), whose sum is σ = 33144228. Its totient is φ = 12460032.

The previous prime is 20717537. The next prime is 20717569. The reversal of 20717541 is 14571702.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 20657025 = 246^2 + 4545^2 .

It is not a de Polignac number, because 20717541 - 22 = 20717537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20717591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80485 + ... + 80741.

It is an arithmetic number, because the mean of its divisors is an integer number (920673).

Almost surely, 220717541 is an apocalyptic number.

It is an amenable number.

20717541 is a deficient number, since it is larger than the sum of its proper divisors (12426687).

20717541 is a wasteful number, since it uses less digits than its factorization.

20717541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

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

The square root of 20717541 is about 4551.6525570390. The cubic root of 20717541 is about 274.6498728683.

The spelling of 20717541 in words is "twenty million, seven hundred seventeen thousand, five hundred forty-one".

Divisors: 1 3 9 13 39 53 117 159 169 257 477 507 689 771 1521 2067 2313 3341 6201 8957 10023 13621 26871 30069 40863 43433 80613 122589 130299 177073 390897 531219 1593657 2301949 6905847 20717541