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20018128 = 2413157613
BaseRepresentation
bin100110001011…
…1001111010000
31101200000201011
41030113033100
520111040003
61553020304
7332102614
oct114271720
941600634
1020018128
1110332a09
126854694
1341bb760
142931344
151b5646d
hex13173d0

20018128 has 40 divisors (see below), whose sum is σ = 42103208. Its totient is φ = 9165312.

The previous prime is 20018113. The next prime is 20018161. The reversal of 20018128 is 82181002.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 18558864 = 1208^2 + 4308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20018099 and 20018108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32350 + ... + 32962.

Almost surely, 220018128 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 20018128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051604).

20018128 is an abundant number, since it is smaller than the sum of its proper divisors (22085080).

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

20018128 is a wasteful number, since it uses less digits than its factorization.

20018128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 20018128 is about 4474.1622679559. The cubic root of 20018128 is about 271.5237484978.

The spelling of 20018128 in words is "twenty million, eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 613 628 1226 1256 2041 2452 2512 4082 4904 7969 8164 9808 15938 16328 31876 32656 63752 96241 127504 192482 384964 769928 1251133 1539856 2502266 5004532 10009064 20018128