Search a number
-
+
21161184 = 2531129691
BaseRepresentation
bin101000010111…
…0010011100000
31110211002200120
41100232103200
520404124214
62033320240
7344603262
oct120562340
943732616
1021161184
1110a43790
127106080
1344cbb15
142b4bb32
151cceea9
hex142e4e0

21161184 has 96 divisors (see below), whose sum is σ = 62778240. Its totient is φ = 6182400.

The previous prime is 21161137. The next prime is 21161191. The reversal of 21161184 is 48116112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 30279 + ... + 30969.

It is an arithmetic number, because the mean of its divisors is an integer number (653940).

Almost surely, 221161184 is an apocalyptic number.

21161184 is a gapful number since it is divisible by the number (24) 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 21161184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31389120).

21161184 is an abundant number, since it is smaller than the sum of its proper divisors (41617056).

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

21161184 is a wasteful number, since it uses less digits than its factorization.

21161184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

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

The square root of 21161184 is about 4600.1286938519. The cubic root of 21161184 is about 276.5964835446.

Adding to 21161184 its reverse (48116112), we get a palindrome (69277296).

The spelling of 21161184 in words is "twenty-one million, one hundred sixty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 691 696 928 957 1056 1276 1382 1392 1914 2073 2552 2764 2784 3828 4146 5104 5528 7601 7656 8292 10208 11056 15202 15312 16584 20039 22112 22803 30404 30624 33168 40078 45606 60117 60808 66336 80156 91212 120234 121616 160312 182424 220429 240468 243232 320624 364848 440858 480936 641248 661287 729696 881716 961872 1322574 1763432 1923744 2645148 3526864 5290296 7053728 10580592 21161184