Search a number
-
+
21006918 = 233733
BaseRepresentation
bin101000000100…
…0101001000110
31110112021002000
41100020221012
520334210133
62030130130
7343361442
oct120105106
943467060
1021006918
1110948899
127050946
13447683a
142b0b822
151c9e413
hex1408a46

21006918 has 32 divisors (see below), whose sum is σ = 47330400. Its totient is φ = 6906384.

The previous prime is 21006907. The next prime is 21006941. The reversal of 21006918 is 81960012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21006891 and 21006900.

It is a congruent number.

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, 287730 + ... + 287802.

It is an arithmetic number, because the mean of its divisors is an integer number (1479075).

Almost surely, 221006918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21006918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665200).

21006918 is an abundant number, since it is smaller than the sum of its proper divisors (26323482).

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

21006918 is an frugal number, since it uses more digits than its factorization.

21006918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21006918 is about 4583.3304484839. The cubic root of 21006918 is about 275.9227099270.

Multiplying 21006918 by its product of nonzero digits (864), we get a cube (18149977152 = 26283).

The spelling of 21006918 in words is "twenty-one million, six thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 5329 10658 15987 31974 47961 95922 143883 287766 389017 778034 1167051 2334102 3501153 7002306 10503459 21006918