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20130336 = 2533231013
BaseRepresentation
bin100110011001…
…0101000100000
31101212201122000
41030302220200
520123132321
61555244000
7333051012
oct114625040
941781560
1020130336
11103aa246
1268a9600
13422a855
1429601b2
151b79826
hex1332a20

20130336 has 96 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 6412032.

The previous prime is 20130293. The next prime is 20130343. The reversal of 20130336 is 63303102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19366 + ... + 20378.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 220130336 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 20130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

20130336 is an abundant number, since it is smaller than the sum of its proper divisors (41196384).

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

20130336 is a wasteful number, since it uses less digits than its factorization.

20130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 20130336 is about 4486.6842991234. The cubic root of 20130336 is about 272.0301293038.

Adding to 20130336 its reverse (63303102), we get a palindrome (83433438).

The spelling of 20130336 in words is "twenty million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1013 1104 1242 1656 2026 2208 2484 3039 3312 4052 4968 6078 6624 8104 9117 9936 12156 16208 18234 19872 23299 24312 27351 32416 36468 46598 48624 54702 69897 72936 93196 97248 109404 139794 145872 186392 209691 218808 279588 291744 372784 419382 437616 559176 629073 745568 838764 875232 1118352 1258146 1677528 2236704 2516292 3355056 5032584 6710112 10065168 20130336