Search a number
-
+
21144060 = 22325797173
BaseRepresentation
bin101000010101…
…0000111111100
31110210020012100
41100222013330
520403102220
62033105100
7344502330
oct120520774
943706170
1021144060
1110a31933
1270b8190
1344c40a2
142b457c0
151cc9d90
hex142a1fc

21144060 has 144 divisors (see below), whose sum is σ = 74483136. Its totient is φ = 4755456.

The previous prime is 21144059. The next prime is 21144083. The reversal of 21144060 is 6044112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122134 + ... + 122306.

It is an arithmetic number, because the mean of its divisors is an integer number (517244).

Almost surely, 221144060 is an apocalyptic number.

21144060 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 21144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37241568).

21144060 is an abundant number, since it is smaller than the sum of its proper divisors (53339076).

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

21144060 is a wasteful number, since it uses less digits than its factorization.

21144060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21144060 is about 4598.2670648843. The cubic root of 21144060 is about 276.5218545075.

Adding to 21144060 its reverse (6044112), we get a palindrome (27188172).

The spelling of 21144060 in words is "twenty-one million, one hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 173 180 194 210 252 291 315 346 388 420 485 519 582 630 679 692 865 873 970 1038 1164 1211 1260 1358 1455 1557 1730 1746 1940 2037 2076 2422 2595 2716 2910 3114 3395 3460 3492 3633 4074 4365 4844 5190 5820 6055 6111 6228 6790 7266 7785 8148 8730 10185 10380 10899 12110 12222 13580 14532 15570 16781 17460 18165 20370 21798 24220 24444 30555 31140 33562 36330 40740 43596 50343 54495 61110 67124 72660 83905 100686 108990 117467 122220 151029 167810 201372 217980 234934 251715 302058 335620 352401 469868 503430 587335 604116 704802 755145 1006860 1057203 1174670 1409604 1510290 1762005 2114406 2349340 3020580 3524010 4228812 5286015 7048020 10572030 21144060