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20106352 = 247315791
BaseRepresentation
bin100110010110…
…0110001110000
31101211111201201
41030230301300
520121400402
61554540544
7332621050
oct114546160
941744651
1020106352
1110393222
126897754
13421c966
142955560
151b72687
hex132cc70

20106352 has 40 divisors (see below), whose sum is σ = 45965312. Its totient is φ = 8337600.

The previous prime is 20106337. The next prime is 20106371. The reversal of 20106352 is 25360102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 6367.

Almost surely, 220106352 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 20106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982656).

20106352 is an abundant number, since it is smaller than the sum of its proper divisors (25858960).

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

20106352 is a wasteful number, since it uses less digits than its factorization.

20106352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 20106352 is about 4484.0107047151. The cubic root of 20106352 is about 271.9220509047.

Adding to 20106352 its reverse (25360102), we get a palindrome (45466454).

The spelling of 20106352 in words is "twenty million, one hundred six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 5791 11582 23164 40537 46328 81074 92656 162148 179521 324296 359042 648592 718084 1256647 1436168 2513294 2872336 5026588 10053176 20106352