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20087424 = 273274753
BaseRepresentation
bin100110010100…
…0001010000000
31101210112202200
41030220022000
520120244144
61554313200
7332511630
oct114501200
941715680
1020087424
111037aa85
126888800
134214166
14294c6c0
151b6bc69
hex1328280

20087424 has 192 divisors, whose sum is σ = 68739840. Its totient is φ = 5511168.

The previous prime is 20087413. The next prime is 20087429. The reversal of 20087424 is 42478002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20087429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378982 + ... + 379034.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 220087424 is an apocalyptic number.

20087424 is a gapful number since it is divisible by the number (24) 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 20087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

20087424 is an abundant number, since it is smaller than the sum of its proper divisors (48652416).

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

20087424 is a wasteful number, since it uses less digits than its factorization.

20087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20087424 is about 4481.8995972690. The cubic root of 20087424 is about 271.8366955151.

The spelling of 20087424 in words is "twenty million, eighty-seven thousand, four hundred twenty-four".