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20934272 = 27413989
BaseRepresentation
bin100111111011…
…0111010000000
31110101120102102
41033312322000
520324344042
62024405532
7342636602
oct117667200
943346372
1020934272
11108a9257
1270168a8
13444c758
142acd172
151c87b32
hex13f6e80

20934272 has 32 divisors (see below), whose sum is σ = 42732900. Its totient is φ = 10209280.

The previous prime is 20934271. The next prime is 20934281. The reversal of 20934272 is 27243902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19149376 + 1784896 = 4376^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20934271) 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 3 ways as a sum of consecutive naturals, for example, 3254 + ... + 7242.

Almost surely, 220934272 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 20934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366450).

20934272 is an abundant number, since it is smaller than the sum of its proper divisors (21798628).

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

20934272 is an equidigital number, since it uses as much as digits as its factorization.

20934272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 20934272 is about 4575.3985618741. The cubic root of 20934272 is about 275.6042778147.

The spelling of 20934272 in words is "twenty million, nine hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 3989 5248 7978 15956 31912 63824 127648 163549 255296 327098 510592 654196 1308392 2616784 5233568 10467136 20934272