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20934144 = 293271159
BaseRepresentation
bin100111111011…
…0111000000000
31110101120020200
41033312320000
520324343034
62024405200
7342636330
oct117667000
943346220
1020934144
11108a9150
127016800
13444c68a
142acd0c0
151c87a99
hex13f6e00

20934144 has 240 divisors, whose sum is σ = 76602240. Its totient is φ = 5345280.

The previous prime is 20934139. The next prime is 20934197. The reversal of 20934144 is 44143902.

It is a congruent number.

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, 354787 + ... + 354845.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 220934144 is an apocalyptic number.

20934144 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 20934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

20934144 is an abundant number, since it is smaller than the sum of its proper divisors (55668096).

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

20934144 is a wasteful number, since it uses less digits than its factorization.

20934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20934144 is about 4575.3845740003. The cubic root of 20934144 is about 275.6037160976.

The spelling of 20934144 in words is "twenty million, nine hundred thirty-four thousand, one hundred forty-four".