Search a number
-
+
20366000 = 245317599
BaseRepresentation
bin100110110110…
…0001010110000
31102022200220022
41031230022300
520203203000
62004303012
7335052044
oct115541260
942280808
1020366000
1110550306
1269a1a68
1342b0bb5
1429c2024
151bc4585
hex136c2b0

20366000 has 80 divisors (see below), whose sum is σ = 52228800. Its totient is φ = 7654400.

The previous prime is 20365999. The next prime is 20366011. The reversal of 20366000 is 66302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 20366000.

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 15 ways as a sum of consecutive naturals, for example, 33701 + ... + 34299.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 220366000 is an apocalyptic number.

20366000 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 20366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114400).

20366000 is an abundant number, since it is smaller than the sum of its proper divisors (31862800).

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

20366000 is a wasteful number, since it uses less digits than its factorization.

20366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 20366000 is about 4512.8704834063. The cubic root of 20366000 is about 273.0875575083.

The spelling of 20366000 in words is "twenty million, three hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 599 680 850 1000 1198 1360 1700 2000 2125 2396 2995 3400 4250 4792 5990 6800 8500 9584 10183 11980 14975 17000 20366 23960 29950 34000 40732 47920 50915 59900 74875 81464 101830 119800 149750 162928 203660 239600 254575 299500 407320 509150 599000 814640 1018300 1198000 1272875 2036600 2545750 4073200 5091500 10183000 20366000