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20500641 = 337313499
BaseRepresentation
bin100111000110…
…1000010100001
31102120112121000
41032031002201
520222010031
62011222213
7336152430
oct116150241
942515530
1020500641
1110632487
126a47969
13432a275
142a19117
151bee3e6
hex138d0a1

20500641 has 32 divisors (see below), whose sum is σ = 35840000. Its totient is φ = 11333520.

The previous prime is 20500631. The next prime is 20500643. The reversal of 20500641 is 14600502.

It is a happy number.

20500641 is a `hidden beast` number, since 20 + 5 + 0 + 0 + 641 = 666.

It is not a de Polignac number, because 20500641 - 26 = 20500577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20500643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4110 + ... + 7608.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000).

Almost surely, 220500641 is an apocalyptic number.

20500641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20500641 is a deficient number, since it is larger than the sum of its proper divisors (15339359).

20500641 is a wasteful number, since it uses less digits than its factorization.

20500641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20500641 is about 4527.7633551236. The cubic root of 20500641 is about 273.6880362663.

The spelling of 20500641 in words is "twenty million, five hundred thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 3499 5859 10497 24493 31491 73479 94473 108469 220437 325407 661311 759283 976221 2277849 2928663 6833547 20500641