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20298006 = 2332359277
BaseRepresentation
bin100110101101…
…1100100010110
31102012020122000
41031123210112
520144014011
62003020130
7334346601
oct115334426
942166560
1020298006
1110504213
12696a646
134288c71
1429a5338
151bae356
hex135b916

20298006 has 64 divisors (see below), whose sum is σ = 48038400. Its totient is φ = 6339168.

The previous prime is 20298001. The next prime is 20298013. The reversal of 20298006 is 60089202.

20298006 is a nontrivial binomial coefficient, being equal to C(6372, 2).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20298001) 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, 73140 + ... + 73416.

It is an arithmetic number, because the mean of its divisors is an integer number (750600).

Almost surely, 220298006 is an apocalyptic number.

20298006 is the 6371-st triangular number and also the 3186-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20298006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019200).

20298006 is an abundant number, since it is smaller than the sum of its proper divisors (27740394).

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

20298006 is a wasteful number, since it uses less digits than its factorization.

20298006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

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

The square root of 20298006 is about 4505.3308424576. The cubic root of 20298006 is about 272.7833083041.

The spelling of 20298006 in words is "twenty million, two hundred ninety-eight thousand, six".

Divisors: 1 2 3 6 9 18 23 27 46 54 59 69 118 138 177 207 277 354 414 531 554 621 831 1062 1242 1357 1593 1662 2493 2714 3186 4071 4986 6371 7479 8142 12213 12742 14958 16343 19113 24426 32686 36639 38226 49029 57339 73278 98058 114678 147087 172017 294174 344034 375889 441261 751778 882522 1127667 2255334 3383001 6766002 10149003 20298006