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20501364 = 223131131163
BaseRepresentation
bin100111000110…
…1001101110100
31102120120120210
41032031031310
520222020424
62011225420
7336154512
oct116151564
942516523
1020501364
1110632a84
126a48270
13432a6b0
142a194b2
151bee729
hex138d374

20501364 has 48 divisors (see below), whose sum is σ = 52016832. Its totient is φ = 6246912.

The previous prime is 20501363. The next prime is 20501381. The reversal of 20501364 is 46310502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20501364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20501363) 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 15 ways as a sum of consecutive naturals, for example, 17047 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (1083684).

Almost surely, 220501364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20501364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26008416).

20501364 is an abundant number, since it is smaller than the sum of its proper divisors (31515468).

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

20501364 is a wasteful number, since it uses less digits than its factorization.

20501364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20501364 is about 4527.8431951648. The cubic root of 20501364 is about 273.6912536312.

Adding to 20501364 its reverse (46310502), we get a palindrome (66811866).

The spelling of 20501364 in words is "twenty million, five hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1163 1356 1469 2326 2938 3489 4407 4652 5876 6978 8814 13956 15119 17628 30238 45357 60476 90714 131419 181428 262838 394257 525676 788514 1577028 1708447 3416894 5125341 6833788 10250682 20501364