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20521152 = 2632231549
BaseRepresentation
bin100111001001…
…0000011000000
31102121120201200
41032102003000
520223134102
62011501200
7336266301
oct116220300
942546650
1020521152
1110646933
126a57800
1343366c2
142a227a8
151c0551c
hex13920c0

20521152 has 84 divisors (see below), whose sum is σ = 61417200. Its totient is φ = 6538752.

The previous prime is 20521147. The next prime is 20521153. The reversal of 20521152 is 25112502.

It is a super-2 number, since 2×205211522 = 842235358814208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20521153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12474 + ... + 14022.

Almost surely, 220521152 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 20521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30708600).

20521152 is an abundant number, since it is smaller than the sum of its proper divisors (40896048).

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

20521152 is a wasteful number, since it uses less digits than its factorization.

20521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 20521152 is about 4530.0278144841. The cubic root of 20521152 is about 273.7792812864.

Adding to 20521152 its reverse (25112502), we get a palindrome (45633654).

The spelling of 20521152 in words is "twenty million, five hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1549 1656 2208 3098 3312 4416 4647 6196 6624 9294 12392 13248 13941 18588 24784 27882 35627 37176 49568 55764 71254 74352 99136 106881 111528 142508 148704 213762 223056 285016 297408 320643 427524 446112 570032 641286 855048 892224 1140064 1282572 1710096 2280128 2565144 3420192 5130288 6840384 10260576 20521152