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21115104 = 2532373131
BaseRepresentation
bin101000010001…
…1000011100000
31110201202110220
41100203003200
520401140404
62032323040
7344322033
oct120430340
943652426
1021115104
1110a120aa
1270a3480
1344b3b5a
142b3901a
151cc14d9
hex14230e0

21115104 has 96 divisors (see below), whose sum is σ = 59076864. Its totient is φ = 6589440.

The previous prime is 21115093. The next prime is 21115141. The reversal of 21115104 is 40151112.

It is a happy number.

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

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, 161119 + ... + 161249.

It is an arithmetic number, because the mean of its divisors is an integer number (615384).

Almost surely, 221115104 is an apocalyptic number.

21115104 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 21115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538432).

21115104 is an abundant number, since it is smaller than the sum of its proper divisors (37961760).

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

21115104 is a wasteful number, since it uses less digits than its factorization.

21115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 21115104 is about 4595.1174087285. The cubic root of 21115104 is about 276.3955680597.

Adding to 21115104 its reverse (40151112), we get a palindrome (61266216).

The spelling of 21115104 in words is "twenty-one million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 131 138 146 184 219 262 276 292 368 393 438 524 552 584 736 786 876 1048 1104 1168 1572 1679 1752 2096 2208 2336 3013 3144 3358 3504 4192 5037 6026 6288 6716 7008 9039 9563 10074 12052 12576 13432 18078 19126 20148 24104 26864 28689 36156 38252 40296 48208 53728 57378 72312 76504 80592 96416 114756 144624 153008 161184 219949 229512 289248 306016 439898 459024 659847 879796 918048 1319694 1759592 2639388 3519184 5278776 7038368 10557552 21115104