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20298600 = 2334527179
BaseRepresentation
bin100110101101…
…1101101101000
31102012021110000
41031123231220
520144023400
62003023000
7334351410
oct115335550
942167400
1020298600
1110504703
12696aa60
13428930a
1429a5640
151bae600
hex135bb68

20298600 has 240 divisors, whose sum is σ = 81021600. Its totient is φ = 4613760.

The previous prime is 20298571. The next prime is 20298601. The reversal of 20298600 is 689202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20298601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113311 + ... + 113489.

It is an arithmetic number, because the mean of its divisors is an integer number (337590).

Almost surely, 220298600 is an apocalyptic number.

20298600 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 20298600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40510800).

20298600 is an abundant number, since it is smaller than the sum of its proper divisors (60723000).

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

20298600 is a wasteful number, since it uses less digits than its factorization.

20298600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20298600 is about 4505.3967638822. The cubic root of 20298600 is about 272.7859691846.

The spelling of 20298600 in words is "twenty million, two hundred ninety-eight thousand, six hundred".