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20244160 = 265411543
BaseRepresentation
bin100110100111…
…0011011000000
31102002111202201
41031032123000
520140303120
62001522544
7334033606
oct115163300
942074681
1020244160
1110477812
126943454
13426a5c1
14298d876
151b9d40a
hex134e6c0

20244160 has 56 divisors (see below), whose sum is σ = 49414176. Its totient is φ = 7895040.

The previous prime is 20244157. The next prime is 20244167. The reversal of 20244160 is 6144202.

It is not an unprimeable number, because it can be changed into a prime (20244167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12349 + ... + 13891.

It is an arithmetic number, because the mean of its divisors is an integer number (882396).

Almost surely, 220244160 is an apocalyptic number.

20244160 is a gapful number since it is divisible by the number (20) 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 20244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24707088).

20244160 is an abundant number, since it is smaller than the sum of its proper divisors (29170016).

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

20244160 is a wasteful number, since it uses less digits than its factorization.

20244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20244160 is about 4499.3510643203. The cubic root of 20244160 is about 272.5418839753.

Adding to 20244160 its reverse (6144202), we get a palindrome (26388362).

The spelling of 20244160 in words is "twenty million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1543 1640 2624 3086 3280 6172 6560 7715 12344 13120 15430 24688 30860 49376 61720 63263 98752 123440 126526 246880 253052 316315 493760 506104 632630 1012208 1265260 2024416 2530520 4048832 5061040 10122080 20244160