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20558304 = 25321317219
BaseRepresentation
bin100111001101…
…1000111100000
31102200110200200
41032123013200
520230331204
62012345200
7336512514
oct116330740
942613620
1020558304
1110671838
126a75200
13434a5a0
142a32144
151c11539
hex139b1e0

20558304 has 216 divisors, whose sum is σ = 70401240. Its totient is φ = 5640192.

The previous prime is 20558299. The next prime is 20558309. The reversal of 20558304 is 40385502.

It is an interprime number because it is at equal distance from previous prime (20558299) and next prime (20558309).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20558309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1082007 + ... + 1082025.

Almost surely, 220558304 is an apocalyptic number.

20558304 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 20558304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35200620).

20558304 is an abundant number, since it is smaller than the sum of its proper divisors (49842936).

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

20558304 is a wasteful number, since it uses less digits than its factorization.

20558304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20558304 is about 4534.1265972621. The cubic root of 20558304 is about 273.9444006035.

The spelling of 20558304 in words is "twenty million, five hundred fifty-eight thousand, three hundred four".