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21006930 = 2357167599
BaseRepresentation
bin101000000100…
…0101001010010
31110112021002110
41100020221102
520334210210
62030130150
7343361460
oct120105122
943467073
1021006930
11109488aa
127050956
134476849
142b0b830
151c9e420
hex1408a52

21006930 has 64 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 4764864.

The previous prime is 21006907. The next prime is 21006941. The reversal of 21006930 is 3960012.

It is a super-2 number, since 2×210069302 = 882582216049800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

21006930 is a modest number, since divided by 6930 gives 2100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 21006897 and 21006906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34771 + ... + 35369.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 221006930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21006930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

21006930 is an abundant number, since it is smaller than the sum of its proper divisors (37053870).

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

21006930 is a wasteful number, since it uses less digits than its factorization.

21006930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 21006930 is about 4583.3317575755. The cubic root of 21006930 is about 275.9227624664.

Adding to 21006930 its reverse (3960012), we get a palindrome (24966942).

The spelling of 21006930 in words is "twenty-one million, six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 167 210 334 501 599 835 1002 1169 1198 1670 1797 2338 2505 2995 3507 3594 4193 5010 5845 5990 7014 8386 8985 11690 12579 17535 17970 20965 25158 35070 41930 62895 100033 125790 200066 300099 500165 600198 700231 1000330 1400462 1500495 2100693 3000990 3501155 4201386 7002310 10503465 21006930