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20019168 = 2532135347
BaseRepresentation
bin100110001011…
…1011111100000
31101200002010200
41030113133200
520111103133
61553025200
7332105631
oct114273740
941602120
1020019168
1110333774
126855200
1341bc080
142931888
151b56913
hex13177e0

20019168 has 72 divisors (see below), whose sum is σ = 61320168. Its totient is φ = 6158592.

The previous prime is 20019161. The next prime is 20019169. The reversal of 20019168 is 86191002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20019161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (851669).

Almost surely, 220019168 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 20019168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30660084).

20019168 is an abundant number, since it is smaller than the sum of its proper divisors (41301000).

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

20019168 is a wasteful number, since it uses less digits than its factorization.

20019168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20019168 is about 4474.2784893209. The cubic root of 20019168 is about 271.5284505660.

The spelling of 20019168 in words is "twenty million, nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5347 10694 16041 21388 32082 42776 48123 64164 69511 85552 96246 128328 139022 171104 192492 208533 256656 278044 384984 417066 513312 556088 625599 769968 834132 1112176 1251198 1539936 1668264 2224352 2502396 3336528 5004792 6673056 10009584 20019168