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21006060 = 2235714931
BaseRepresentation
bin101000000100…
…0011011101100
31110112012220020
41100020123230
520334143220
62030122140
7343356105
oct120103354
943465806
1021006060
1110948189
127050350
13447632a
142b0b3ac
151c9e040
hex14086ec

21006060 has 48 divisors (see below), whose sum is σ = 59657472. Its totient is φ = 5521600.

The previous prime is 21006053. The next prime is 21006071. The reversal of 21006060 is 6060012.

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

21006060 is a modest number, since divided by 6060 gives 2100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795 + ... + 6725.

It is an arithmetic number, because the mean of its divisors is an integer number (1242864).

Almost surely, 221006060 is an apocalyptic number.

21006060 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 21006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29828736).

21006060 is an abundant number, since it is smaller than the sum of its proper divisors (38651412).

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

21006060 is a wasteful number, since it uses less digits than its factorization.

21006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 21006060 is about 4583.2368474693. The cubic root of 21006060 is about 275.9189533088.

Adding to 21006060 its reverse (6060012), we get a palindrome (27066072).

The spelling of 21006060 in words is "twenty-one million, six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 4931 9862 14793 19724 24655 29586 49310 59172 73965 98620 147930 295860 350101 700202 1050303 1400404 1750505 2100606 3501010 4201212 5251515 7002020 10503030 21006060