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20665632 = 2531329571
BaseRepresentation
bin100111011010…
…1010100100000
31102212220220210
41032311110200
520242300012
62014534120
7340440441
oct116652440
942786823
1020665632
1110735439
126b07340
1343873b0
142a5d2c8
151c3323c
hex13b5520

20665632 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6128640.

The previous prime is 20665621. The next prime is 20665649. The reversal of 20665632 is 23656602.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20665632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35907 + ... + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 220665632 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 20665632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20665632 is an abundant number, since it is smaller than the sum of its proper divisors (39874848).

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

20665632 is a wasteful number, since it uses less digits than its factorization.

20665632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 20665632 is about 4545.9467660763. The cubic root of 20665632 is about 274.4202972970.

The spelling of 20665632 in words is "twenty million, six hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 571 624 696 754 928 1131 1142 1248 1392 1508 1713 2262 2284 2784 3016 3426 4524 4568 6032 6852 7423 9048 9136 12064 13704 14846 16559 18096 18272 22269 27408 29692 33118 36192 44538 49677 54816 59384 66236 89076 99354 118768 132472 178152 198708 215267 237536 264944 356304 397416 430534 529888 645801 712608 794832 861068 1291602 1589664 1722136 2583204 3444272 5166408 6888544 10332816 20665632