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20093184 = 28351719
BaseRepresentation
bin100110010100…
…1100100000000
31101210211200000
41030221210000
520120440214
61554400000
7332534466
oct114514400
941724600
1020093184
1110384341
126890000
134216977
142950836
151b6d809
hex1329900

20093184 has 216 divisors, whose sum is σ = 66961440. Its totient is φ = 5971968.

The previous prime is 20093179. The next prime is 20093197. The reversal of 20093184 is 48139002.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057527 + ... + 1057545.

Almost surely, 220093184 is an apocalyptic number.

20093184 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 20093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480720).

20093184 is an abundant number, since it is smaller than the sum of its proper divisors (46868256).

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

20093184 is an equidigital number, since it uses as much as digits as its factorization.

20093184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20093184 is about 4482.5421358867. The cubic root of 20093184 is about 271.8626757790.

20093184 divided by its product of nonzero digits (1728) gives a triangular number (11628 = T152).

The spelling of 20093184 in words is "twenty million, ninety-three thousand, one hundred eighty-four".