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20149272 = 2332111319103
BaseRepresentation
bin100110011011…
…1010000011000
31101220200121100
41030313100120
520124234042
61555511400
7333160143
oct114672030
941820540
1020149272
11104124a0
1268b8560
134236360
14296705a
151b8024c
hex1337418

20149272 has 192 divisors, whose sum is σ = 68140800. Its totient is φ = 5287680.

The previous prime is 20149271. The next prime is 20149309. The reversal of 20149272 is 27294102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20149271) 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 47 ways as a sum of consecutive naturals, for example, 195573 + ... + 195675.

It is an arithmetic number, because the mean of its divisors is an integer number (354900).

Almost surely, 220149272 is an apocalyptic number.

20149272 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 20149272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

20149272 is an abundant number, since it is smaller than the sum of its proper divisors (47991528).

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

20149272 is a wasteful number, since it uses less digits than its factorization.

20149272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20149272 is about 4488.7940474029. The cubic root of 20149272 is about 272.1153994187.

The spelling of 20149272 in words is "twenty million, one hundred forty-nine thousand, two hundred seventy-two".