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20086000 = 245311283
BaseRepresentation
bin100110010011…
…1110011110000
31101210110210221
41030213303300
520120223000
61554302424
7332504524
oct114476360
941713727
1020086000
1110379a00
126887a14
13421360c
14294bd84
151b6b61a
hex1327cf0

20086000 has 120 divisors (see below), whose sum is σ = 54027792. Its totient is φ = 7216000.

The previous prime is 20085979. The next prime is 20086007. The reversal of 20086000 is 68002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20086007) 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 23 ways as a sum of consecutive naturals, for example, 241959 + ... + 242041.

Almost surely, 220086000 is an apocalyptic number.

20086000 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 20086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013896).

20086000 is an abundant number, since it is smaller than the sum of its proper divisors (33941792).

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

20086000 is a wasteful number, since it uses less digits than its factorization.

20086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20086000 is about 4481.7407332419. The cubic root of 20086000 is about 271.8302718509.

It can be divided in two parts, 2008 and 6000, that added together give a palindrome (8008).

The spelling of 20086000 in words is "twenty million, eighty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 83 88 100 110 121 125 166 176 200 220 242 250 275 332 400 415 440 484 500 550 605 664 830 880 913 968 1000 1100 1210 1328 1375 1660 1826 1936 2000 2075 2200 2420 2750 3025 3320 3652 4150 4400 4565 4840 5500 6050 6640 7304 8300 9130 9680 10043 10375 11000 12100 14608 15125 16600 18260 20086 20750 22000 22825 24200 30250 33200 36520 40172 41500 45650 48400 50215 60500 73040 80344 83000 91300 100430 114125 121000 160688 166000 182600 200860 228250 242000 251075 365200 401720 456500 502150 803440 913000 1004300 1255375 1826000 2008600 2510750 4017200 5021500 10043000 20086000