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20006250 = 23551197
BaseRepresentation
bin100110001010…
…0010101101010
31101122102102020
41030110111222
520110200000
61552445310
7332023155
oct114242552
941572366
1020006250
1110324aa0
126849836
1341b6224
14292ac9c
151b52ba0
hex131456a

20006250 has 96 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 4800000.

The previous prime is 20006243. The next prime is 20006279. The reversal of 20006250 is 5260002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 206202 + ... + 206298.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 220006250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

20006250 is an abundant number, since it is smaller than the sum of its proper divisors (35115222).

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

20006250 is an equidigital number, since it uses as much as digits as its factorization.

20006250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20006250 is about 4472.8346716596. The cubic root of 20006250 is about 271.4700338982.

Adding to 20006250 its reverse (5260002), we get a palindrome (25266252).

The spelling of 20006250 in words is "twenty million, six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 97 110 125 150 165 194 250 275 291 330 375 485 550 582 625 750 825 970 1067 1250 1375 1455 1650 1875 2134 2425 2750 2910 3125 3201 3750 4125 4850 5335 6250 6402 6875 7275 8250 9375 10670 12125 13750 14550 16005 18750 20625 24250 26675 32010 34375 36375 41250 53350 60625 68750 72750 80025 103125 121250 133375 160050 181875 206250 266750 303125 363750 400125 606250 666875 800250 909375 1333750 1818750 2000625 3334375 4001250 6668750 10003125 20006250