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20130264 = 23327113631
BaseRepresentation
bin100110011001…
…0100111011000
31101212201112100
41030302213120
520123132024
61555243400
7333050550
oct114624730
941781470
1020130264
11103aa190
1268a9560
13422a7cb
142960160
151b797c9
hex13329d8

20130264 has 96 divisors (see below), whose sum is σ = 67991040. Its totient is φ = 5227200.

The previous prime is 20130251. The next prime is 20130281. The reversal of 20130264 is 46203102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3729 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (708240).

Almost surely, 220130264 is an apocalyptic number.

20130264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33995520).

20130264 is an abundant number, since it is smaller than the sum of its proper divisors (47860776).

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

20130264 is a wasteful number, since it uses less digits than its factorization.

20130264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20130264 is about 4486.6762753736. The cubic root of 20130264 is about 272.0298049808.

Adding to 20130264 its reverse (46203102), we get a palindrome (66333366).

The spelling of 20130264 in words is "twenty million, one hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 3631 5544 7262 10893 14524 21786 25417 29048 32679 39941 43572 50834 65358 76251 79882 87144 101668 119823 130716 152502 159764 203336 228753 239646 261432 279587 305004 319528 359469 457506 479292 559174 610008 718938 838761 915012 958584 1118348 1437876 1677522 1830024 2236696 2516283 2875752 3355044 5032566 6710088 10065132 20130264