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21060180 = 22325235087
BaseRepresentation
bin101000001010…
…1101001010100
31110121222010200
41100111221110
520342411210
62031220500
7344002641
oct120255124
943558120
1021060180
1110984909
127077730
134494b5b
142b22dc8
151cb00c0
hex1415a54

21060180 has 72 divisors (see below), whose sum is σ = 66673152. Its totient is φ = 5370816.

The previous prime is 21060173. The next prime is 21060181. The reversal of 21060180 is 8106012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21060181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 221060180 is an apocalyptic number.

21060180 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 21060180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336576).

21060180 is an abundant number, since it is smaller than the sum of its proper divisors (45612972).

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

21060180 is a wasteful number, since it uses less digits than its factorization.

21060180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 21060180 is about 4589.1371738051. The cubic root of 21060180 is about 276.1557092394.

Adding to 21060180 its reverse (8106012), we get a palindrome (29166192).

It can be divided in two parts, 210601 and 80, that added together give a square (210681 = 4592).

The spelling of 21060180 in words is "twenty-one million, sixty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5087 10174 15261 20348 25435 30522 45783 50870 61044 76305 91566 101740 117001 152610 183132 228915 234002 305220 351003 457830 468004 585005 702006 915660 1053009 1170010 1404012 1755015 2106018 2340020 3510030 4212036 5265045 7020060 10530090 21060180