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20746832 = 242961733
BaseRepresentation
bin100111100100…
…1001001010000
31110001001022012
41033021021100
520302344312
62020402052
7341226251
oct117111120
943031265
1020746832
1110790447
126b46328
1343b5342
142a80b28
151c4c322
hex13c9250

20746832 has 40 divisors (see below), whose sum is σ = 42322440. Its totient is φ = 9838080.

The previous prime is 20746829. The next prime is 20746837. The reversal of 20746832 is 23864702.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 17272336 = 1864^2 + 4156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20746837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27938 + ... + 28670.

It is an arithmetic number, because the mean of its divisors is an integer number (1058061).

Almost surely, 220746832 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 20746832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21161220).

20746832 is an abundant number, since it is smaller than the sum of its proper divisors (21575608).

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

20746832 is a wasteful number, since it uses less digits than its factorization.

20746832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 20746832 is about 4554.8690431230. The cubic root of 20746832 is about 274.7792476350.

The spelling of 20746832 in words is "twenty million, seven hundred forty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 733 976 1466 1769 2932 3538 5864 7076 11728 14152 21257 28304 42514 44713 85028 89426 170056 178852 340112 357704 715408 1296677 2593354 5186708 10373416 20746832