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20289528 = 23367271
BaseRepresentation
bin100110101100…
…1011111111000
31102011211000000
41031121133320
520143231103
62002513000
7334313100
oct115313770
942154000
1020289528
11104a8906
126965760
13428514c
1429a2200
151babaa3
hex13597f8

20289528 has 168 divisors, whose sum is σ = 67285080. Its totient is φ = 5715360.

The previous prime is 20289527. The next prime is 20289541. The reversal of 20289528 is 82598202.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 20289492 and 20289501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20289523) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285733 + ... + 285803.

Almost surely, 220289528 is an apocalyptic number.

20289528 is a gapful number since it is divisible by the number (28) 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 20289528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642540).

20289528 is an abundant number, since it is smaller than the sum of its proper divisors (46995552).

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

20289528 is an equidigital number, since it uses as much as digits as its factorization.

20289528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20289528 is about 4504.3898587933. The cubic root of 20289528 is about 272.7453246233.

The spelling of 20289528 in words is "twenty million, two hundred eighty-nine thousand, five hundred twenty-eight".