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20050272 = 2532116329
BaseRepresentation
bin100110001111…
…1000101100000
31101201122210200
41030133011200
520113102042
61553425200
7332265414
oct114370540
941648720
1020050272
1110355080
12686b200
134200288
14293cd44
151b60c4c
hex131f160

20050272 has 72 divisors (see below), whose sum is σ = 62211240. Its totient is φ = 6074880.

The previous prime is 20050243. The next prime is 20050291. The reversal of 20050272 is 27205002.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4 + ... + 6332.

It is an arithmetic number, because the mean of its divisors is an integer number (864045).

Almost surely, 220050272 is an apocalyptic number.

20050272 is a gapful number since it is divisible by the number (22) 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 20050272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31105620).

20050272 is an abundant number, since it is smaller than the sum of its proper divisors (42160968).

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

20050272 is a wasteful number, since it uses less digits than its factorization.

20050272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20050272 is about 4477.7530079271. The cubic root of 20050272 is about 271.6690033715.

Adding to 20050272 its reverse (27205002), we get a palindrome (47255274).

The spelling of 20050272 in words is "twenty million, fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6329 12658 18987 25316 37974 50632 56961 69619 75948 101264 113922 139238 151896 202528 208857 227844 278476 303792 417714 455688 556952 607584 626571 835428 911376 1113904 1253142 1670856 1822752 2227808 2506284 3341712 5012568 6683424 10025136 20050272