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20634075 = 3352711397
BaseRepresentation
bin100111010110…
…1100111011011
31102211022122000
41032231213123
520240242300
62014132043
7340246440
oct116554733
942738560
1020634075
1110713760
126ab1023
134375c17
142a519c7
151c28c00
hex13ad9db

20634075 has 96 divisors (see below), whose sum is σ = 47377920. Its totient is φ = 8553600.

The previous prime is 20634067. The next prime is 20634077. The reversal of 20634075 is 57043602.

It is a happy number.

20634075 is a `hidden beast` number, since 20 + 634 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 20634075 - 23 = 20634067 is a prime.

It is a super-2 number, since 2×206340752 = 851530102211250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20634077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51777 + ... + 52173.

It is an arithmetic number, because the mean of its divisors is an integer number (493520).

Almost surely, 220634075 is an apocalyptic number.

20634075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20634075 is an abundant number, since it is smaller than the sum of its proper divisors (26743845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20634075 is a wasteful number, since it uses less digits than its factorization.

20634075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20634075 is about 4542.4745458836. The cubic root of 20634075 is about 274.2805436386.

Adding to 20634075 its reverse (57043602), we get a palindrome (77677677).

The spelling of 20634075 in words is "twenty million, six hundred thirty-four thousand, seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 135 165 175 189 225 231 275 297 315 385 397 495 525 675 693 825 945 1155 1191 1485 1575 1925 1985 2079 2475 2779 3465 3573 4367 4725 5775 5955 7425 8337 9925 10395 10719 13101 13895 17325 17865 21835 25011 29775 30569 39303 41685 51975 53595 65505 69475 75033 89325 91707 109175 117909 125055 152845 196515 208425 267975 275121 327525 375165 458535 589545 625275 764225 825363 982575 1375605 1875825 2292675 2947725 4126815 6878025 20634075