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20704032 = 253331773
BaseRepresentation
bin100111011111…
…0101100100000
31102221212121000
41032332230200
520300012112
62015432000
7340660416
oct116765440
942855530
1020704032
1110761278
126b25600
13439ba0b
142a6d2b6
151c3e7dc
hex13beb20

20704032 has 96 divisors (see below), whose sum is σ = 62415360. Its totient is φ = 6670080.

The previous prime is 20704007. The next prime is 20704037. The reversal of 20704032 is 23040702.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 20703996 and 20704014.

It is not an unprimeable number, because it can be changed into a prime (20704037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26398 + ... + 27170.

It is an arithmetic number, because the mean of its divisors is an integer number (650160).

Almost surely, 220704032 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 20704032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207680).

20704032 is an abundant number, since it is smaller than the sum of its proper divisors (41711328).

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

20704032 is a wasteful number, since it uses less digits than its factorization.

20704032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20704032 is about 4550.1683485339. The cubic root of 20704032 is about 274.5901641758.

Adding to 20704032 its reverse (23040702), we get a palindrome (43744734).

The spelling of 20704032 in words is "twenty million, seven hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 773 837 864 992 1116 1488 1546 1674 2232 2319 2976 3092 3348 4464 4638 6184 6696 6957 8928 9276 12368 13392 13914 18552 20871 23963 24736 26784 27828 37104 41742 47926 55656 71889 74208 83484 95852 111312 143778 166968 191704 215667 222624 287556 333936 383408 431334 575112 647001 667872 766816 862668 1150224 1294002 1725336 2300448 2588004 3450672 5176008 6901344 10352016 20704032