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21135296 = 2671319191
BaseRepresentation
bin101000010011…
…1111111000000
31110202210011202
41100213333000
520402312141
62033000332
7344434640
oct120477700
943683152
1021135296
1110a26296
1270b30a8
1344c00c0
142b42520
151cc749b
hex1427fc0

21135296 has 112 divisors (see below), whose sum is σ = 54620160. Its totient is φ = 7879680.

The previous prime is 21135293. The next prime is 21135311. The reversal of 21135296 is 69253112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21135293) 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, 110561 + ... + 110751.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 221135296 is an apocalyptic number.

21135296 is a gapful number since it is divisible by the number (26) 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 21135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080).

21135296 is an abundant number, since it is smaller than the sum of its proper divisors (33484864).

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

21135296 is a wasteful number, since it uses less digits than its factorization.

21135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 21135296 is about 4597.3139984126. The cubic root of 21135296 is about 276.4836440528.

The spelling of 21135296 in words is "twenty-one million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 191 208 224 247 266 304 364 382 416 448 494 532 608 728 764 832 988 1064 1216 1337 1456 1528 1729 1976 2128 2483 2674 2912 3056 3458 3629 3952 4256 4966 5348 5824 6112 6916 7258 7904 8512 9932 10696 12224 13832 14516 15808 17381 19864 21392 25403 27664 29032 34762 39728 42784 47177 50806 55328 58064 69524 79456 85568 94354 101612 110656 116128 139048 158912 188708 203224 232256 278096 330239 377416 406448 556192 660478 754832 812896 1112384 1320956 1509664 1625792 2641912 3019328 5283824 10567648 21135296