Search a number
-
+
21182340 = 223517191093
BaseRepresentation
bin101000011001…
…1011110000100
31110212011201010
41100303132010
520410313330
62034002220
7345022044
oct120633604
943764633
1021182340
1110a58673
127116370
13450863a
142b55724
151cd63b0
hex1433784

21182340 has 96 divisors (see below), whose sum is σ = 66165120. Its totient is φ = 5031936.

The previous prime is 21182327. The next prime is 21182377. The reversal of 21182340 is 4328112.

It is a congruent number.

It is an unprimeable number.

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, 18834 + ... + 19926.

It is an arithmetic number, because the mean of its divisors is an integer number (689220).

Almost surely, 221182340 is an apocalyptic number.

21182340 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 21182340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33082560).

21182340 is an abundant number, since it is smaller than the sum of its proper divisors (44982780).

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

21182340 is a wasteful number, since it uses less digits than its factorization.

21182340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21182340 is about 4602.4276202891. The cubic root of 21182340 is about 276.6886290851.

The spelling of 21182340 in words is "twenty-one million, one hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1093 1140 1292 1615 1938 2186 3230 3279 3876 4372 4845 5465 6460 6558 9690 10930 13116 16395 18581 19380 20767 21860 32790 37162 41534 55743 62301 65580 74324 83068 92905 103835 111486 124602 185810 207670 222972 249204 278715 311505 353039 371620 415340 557430 623010 706078 1059117 1114860 1246020 1412156 1765195 2118234 3530390 4236468 5295585 7060780 10591170 21182340