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21318627 = 311319281
BaseRepresentation
bin101000101010…
…0101111100011
31111010002122210
41101110233203
520424144002
62040533203
7346130301
oct121245743
944102583
1021318627
1111041000
127181203
134555695
142b8d271
151d1196c
hex1454be3

21318627 has 32 divisors (see below), whose sum is σ = 33027840. Its totient is φ = 12196800.

The previous prime is 21318599. The next prime is 21318643. The reversal of 21318627 is 72681312.

It is not a de Polignac number, because 21318627 - 211 = 21316579 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (4032) is a multiple of the sum of its prime factors (336).

It is a junction number, because it is equal to n+sod(n) for n = 21318594 and 21318603.

It is not an unprimeable number, because it can be changed into a prime (21318727) 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 31 ways as a sum of consecutive naturals, for example, 75727 + ... + 76007.

It is an arithmetic number, because the mean of its divisors is an integer number (1032120).

Almost surely, 221318627 is an apocalyptic number.

21318627 is a deficient number, since it is larger than the sum of its proper divisors (11709213).

21318627 is a wasteful number, since it uses less digits than its factorization.

21318627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 21318627 is about 4617.2098717732. The cubic root of 21318627 is about 277.2807650777.

Adding to 21318627 its reverse (72681312), we get a palindrome (93999939).

It can be divided in two parts, 21318 and 627, that added together give a triangular number (21945 = T209).

The spelling of 21318627 in words is "twenty-one million, three hundred eighteen thousand, six hundred twenty-seven".

Divisors: 1 3 11 19 33 57 121 209 281 363 627 843 1331 2299 3091 3993 5339 6897 9273 16017 25289 34001 58729 75867 102003 176187 374011 646019 1122033 1938057 7106209 21318627