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20135164 = 22729137181
BaseRepresentation
bin100110011001…
…1110011111100
31101212222020211
41030303303330
520123311124
61555322204
7333101050
oct114636374
941788224
1020135164
1110402935
1268b0364
13422caca
142961c60
151b7ae94
hex1333cfc

20135164 has 48 divisors (see below), whose sum is σ = 42194880. Its totient is φ = 8225280.

The previous prime is 20135147. The next prime is 20135183. The reversal of 20135164 is 46153102.

It is a congruent number.

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, 111154 + ... + 111334.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 220135164 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 20135164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097440).

20135164 is an abundant number, since it is smaller than the sum of its proper divisors (22059716).

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

20135164 is a wasteful number, since it uses less digits than its factorization.

20135164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 20135164 is about 4487.2223033855. Note that the first 3 decimals coincide. The cubic root of 20135164 is about 272.0518751981.

Adding to 20135164 its reverse (46153102), we get a palindrome (66288266).

The spelling of 20135164 in words is "twenty million, one hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 137 181 203 274 362 406 548 724 812 959 1267 1918 2534 3836 3973 5068 5249 7946 10498 15892 20996 24797 27811 36743 49594 55622 73486 99188 111244 146972 173579 347158 694316 719113 1438226 2876452 5033791 10067582 20135164