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21181830 = 23517411013
BaseRepresentation
bin101000011001…
…1010110000110
31110212011000020
41100303112012
520410304310
62034000010
7345020415
oct120632606
943764006
1021181830
1110a5824a
127116006
134508337
142b5547c
151cd6170
hex1433586

21181830 has 64 divisors (see below), whose sum is σ = 55194048. Its totient is φ = 5181440.

The previous prime is 21181807. The next prime is 21181837. The reversal of 21181830 is 3818112.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21181830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21181837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20404 + ... + 21416.

It is an arithmetic number, because the mean of its divisors is an integer number (862407).

Almost surely, 221181830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21181830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024).

21181830 is an abundant number, since it is smaller than the sum of its proper divisors (34012218).

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

21181830 is a wasteful number, since it uses less digits than its factorization.

21181830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 21181830 is about 4602.3722144129. The cubic root of 21181830 is about 276.6864084879.

Adding to 21181830 its reverse (3818112), we get a palindrome (24999942).

The spelling of 21181830 in words is "twenty-one million, one hundred eighty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 697 1013 1230 1394 2026 2091 3039 3485 4182 5065 6078 6970 10130 10455 15195 17221 20910 30390 34442 41533 51663 83066 86105 103326 124599 172210 207665 249198 258315 415330 516630 622995 706061 1245990 1412122 2118183 3530305 4236366 7060610 10590915 21181830