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20198241 = 3473727
BaseRepresentation
bin100110100001…
…1001101100001
31102000011210000
41031003031201
520132320431
62000530213
7333453000
oct115031541
942004700
1020198241
1110446268
126920969
13425272b
14297ac37
151b8e9e6
hex1343361

20198241 has 40 divisors (see below), whose sum is σ = 35235200. Its totient is φ = 11525976.

The previous prime is 20198231. The next prime is 20198251. The reversal of 20198241 is 14289102.

It is an interprime number because it is at equal distance from previous prime (20198231) and next prime (20198251).

It is not a de Polignac number, because 20198241 - 215 = 20165473 is a prime.

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 (20198201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27420 + ... + 28146.

It is an arithmetic number, because the mean of its divisors is an integer number (880880).

Almost surely, 220198241 is an apocalyptic number.

20198241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20198241 is a deficient number, since it is larger than the sum of its proper divisors (15036959).

20198241 is an frugal number, since it uses more digits than its factorization.

20198241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20198241 is about 4494.2453204070. The cubic root of 20198241 is about 272.3356627734.

The spelling of 20198241 in words is "twenty million, one hundred ninety-eight thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 727 1029 1323 2181 3087 3969 5089 6543 9261 15267 19629 27783 35623 45801 58887 106869 137403 249361 320607 412209 748083 961821 2244249 2885463 6732747 20198241