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20573280 = 25325713157
BaseRepresentation
bin100111001111…
…0110001100000
31102201020020100
41032132301200
520231321110
62012542400
7336604260
oct116366140
942636210
1020573280
1110682012
126a81a00
134354350
142a377a0
151c15bc0
hex139ec60

20573280 has 288 divisors, whose sum is σ = 86958144. Its totient is φ = 4313088.

The previous prime is 20573269. The next prime is 20573291. The reversal of 20573280 is 8237502.

It is an interprime number because it is at equal distance from previous prime (20573269) and next prime (20573291).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130962 + ... + 131118.

It is an arithmetic number, because the mean of its divisors is an integer number (301938).

Almost surely, 220573280 is an apocalyptic number.

20573280 is a gapful number since it is divisible by the number (20) 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 20573280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43479072).

20573280 is an abundant number, since it is smaller than the sum of its proper divisors (66384864).

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

20573280 is a wasteful number, since it uses less digits than its factorization.

20573280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20573280 is about 4535.7777723341. Note that the first 5 decimals coincide. The cubic root of 20573280 is about 274.0109040717.

The spelling of 20573280 in words is "twenty million, five hundred seventy-three thousand, two hundred eighty".