Search a number
-
+
21113184 = 253172761
BaseRepresentation
bin101000010001…
…0100101100000
31110201122211210
41100202211200
520401110214
62032310120
7344313321
oct120424540
943648753
1021113184
1110a10714
1270a2340
1344b3011
142b38448
151cc0b59
hex1422960

21113184 has 72 divisors (see below), whose sum is σ = 58951368. Its totient is φ = 6615040.

The previous prime is 21113173. The next prime is 21113221. The reversal of 21113184 is 48131112.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21113184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27364 + ... + 28124.

It is an arithmetic number, because the mean of its divisors is an integer number (818769).

Almost surely, 221113184 is an apocalyptic number.

21113184 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 21113184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29475684).

21113184 is an abundant number, since it is smaller than the sum of its proper divisors (37838184).

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

21113184 is a wasteful number, since it uses less digits than its factorization.

21113184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 783 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 21113184 is about 4594.9084865751. The cubic root of 21113184 is about 276.3871902405.

Adding to 21113184 its reverse (48131112), we get a palindrome (69244296).

The spelling of 21113184 in words is "twenty-one million, one hundred thirteen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 761 816 867 1156 1522 1632 1734 2283 2312 3044 3468 4566 4624 6088 6936 9132 9248 12176 12937 13872 18264 24352 25874 27744 36528 38811 51748 73056 77622 103496 155244 206992 219929 310488 413984 439858 620976 659787 879716 1241952 1319574 1759432 2639148 3518864 5278296 7037728 10556592 21113184