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20681577 = 3272232039
BaseRepresentation
bin100111011100…
…1001101101001
31102220201210100
41032321031221
520243302302
62015140013
7340535100
oct116711551
942821710
1020681577
1110746414
126b14609
134391727
142a65037
151c37d1c
hex13b9369

20681577 has 36 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 11298672.

The previous prime is 20681567. The next prime is 20681579. The reversal of 20681577 is 77518602.

20681577 is a `hidden beast` number, since 2 + 0 + 6 + 81 + 577 = 666.

It is not a de Polignac number, because 20681577 - 26 = 20681513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20681579) 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, 9124 + ... + 11162.

It is an arithmetic number, because the mean of its divisors is an integer number (1007760).

Almost surely, 220681577 is an apocalyptic number.

It is an amenable number.

20681577 is a deficient number, since it is larger than the sum of its proper divisors (15597783).

20681577 is a wasteful number, since it uses less digits than its factorization.

20681577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 20681577 is about 4547.7001880071. The cubic root of 20681577 is about 274.4908573901.

The spelling of 20681577 in words is "twenty million, six hundred eighty-one thousand, five hundred seventy-seven".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 2039 3381 6117 10143 14273 18351 42819 46897 99911 128457 140691 299733 328279 422073 899199 984837 2297953 2954511 6893859 20681577