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20105253 = 34759601
BaseRepresentation
bin100110010110…
…0100000100101
31101211110020000
41030230200211
520121332003
61554531513
7332614620
oct114544045
941743200
1020105253
1110392413
126896b99
13421c2cc
142954db7
151b721a3
hex132c825

20105253 has 40 divisors (see below), whose sum is σ = 34964160. Its totient is φ = 11275200.

The previous prime is 20105251. The next prime is 20105257. The reversal of 20105253 is 35250102.

It is a happy number.

It is not a de Polignac number, because 20105253 - 21 = 20105251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33153 + ... + 33753.

It is an arithmetic number, because the mean of its divisors is an integer number (874104).

Almost surely, 220105253 is an apocalyptic number.

It is an amenable number.

20105253 is a deficient number, since it is larger than the sum of its proper divisors (14858907).

20105253 is an equidigital number, since it uses as much as digits as its factorization.

20105253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20105253 is about 4483.8881564999. Note that the first 3 decimals coincide. The cubic root of 20105253 is about 271.9170964542.

Adding to 20105253 its reverse (35250102), we get a palindrome (55355355).

The spelling of 20105253 in words is "twenty million, one hundred five thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 413 531 567 601 1239 1593 1803 3717 4207 4779 5409 11151 12621 16227 33453 35459 37863 48681 106377 113589 248213 319131 340767 744639 957393 2233917 2872179 6701751 20105253