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21051936 = 2532671091
BaseRepresentation
bin101000001001…
…1101000100000
31110121112211100
41100103220200
520342130221
62031114400
7343636623
oct120235040
943545740
1021051936
11109796a4
127072a00
134491189
142b1ddba
151cac926
hex1413a20

21051936 has 72 divisors (see below), whose sum is σ = 60815664. Its totient is φ = 6906240.

The previous prime is 21051913. The next prime is 21051949. The reversal of 21051936 is 63915012.

It is a tau number, because it is divible by the number of its divisors (72).

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, 18751 + ... + 19841.

It is an arithmetic number, because the mean of its divisors is an integer number (844662).

Almost surely, 221051936 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 21051936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30407832).

21051936 is an abundant number, since it is smaller than the sum of its proper divisors (39763728).

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

21051936 is a wasteful number, since it uses less digits than its factorization.

21051936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 21051936 is about 4588.2388778267. The cubic root of 21051936 is about 276.1196708517.

Subtracting from 21051936 its product of nonzero digits (1620), we obtain a triangular number (21050316 = T6488).

Adding to 21051936 its reverse (63915012), we get a palindrome (84966948).

The spelling of 21051936 in words is "twenty-one million, fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1091 1206 1608 2144 2182 2412 3216 3273 4364 4824 6432 6546 8728 9648 9819 13092 17456 19296 19638 26184 34912 39276 52368 73097 78552 104736 146194 157104 219291 292388 314208 438582 584776 657873 877164 1169552 1315746 1754328 2339104 2631492 3508656 5262984 7017312 10525968 21051936