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21109152 = 2531971163
BaseRepresentation
bin101000010000…
…1100110100000
31110201110022110
41100201212200
520400443102
62032235320
7344265501
oct120414640
943643273
1021109152
1110a08689
12709bb40
1344b122c
142b36ba8
151cbe86c
hex14219a0

21109152 has 96 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 6531840.

The previous prime is 21109139. The next prime is 21109159. The reversal of 21109152 is 25190112.

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

It is not an unprimeable number, because it can be changed into a prime (21109159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129423 + ... + 129585.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 221109152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21109152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

21109152 is an abundant number, since it is smaller than the sum of its proper divisors (38403168).

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

21109152 is a wasteful number, since it uses less digits than its factorization.

21109152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 21109152 is about 4594.4697191297. The cubic root of 21109152 is about 276.3695951666.

Adding to 21109152 its reverse (25190112), we get a palindrome (46299264).

The spelling of 21109152 in words is "twenty-one million, one hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 71 76 96 114 142 152 163 213 228 284 304 326 426 456 489 568 608 652 852 912 978 1136 1304 1349 1704 1824 1956 2272 2608 2698 3097 3408 3912 4047 5216 5396 6194 6816 7824 8094 9291 10792 11573 12388 15648 16188 18582 21584 23146 24776 32376 34719 37164 43168 46292 49552 64752 69438 74328 92584 99104 129504 138876 148656 185168 219887 277752 297312 370336 439774 555504 659661 879548 1111008 1319322 1759096 2638644 3518192 5277288 7036384 10554576 21109152