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20880288 = 253311133
BaseRepresentation
bin100111110100…
…1101110100000
31110021211101000
41033221232200
520321132123
62023312000
7342323322
oct117515640
943254330
1020880288
1110871740
126bab600
134431000
142ab7612
151c76b43
hex13e9ba0

20880288 has 192 divisors, whose sum is σ = 71971200. Its totient is φ = 5840640.

The previous prime is 20880283. The next prime is 20880289. The reversal of 20880288 is 88208802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (20880281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606170 + ... + 1606182.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 220880288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20880288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

20880288 is an abundant number, since it is smaller than the sum of its proper divisors (51090912).

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

20880288 is a wasteful number, since it uses less digits than its factorization.

20880288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 20880288 is about 4569.4953769536. The cubic root of 20880288 is about 275.3671701554.

The spelling of 20880288 in words is "twenty million, eight hundred eighty thousand, two hundred eighty-eight".