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20730632 = 2313533761
BaseRepresentation
bin100111100010…
…1001100001000
31110000020002012
41033011030020
520301340012
62020155052
7341131106
oct117051410
943006065
1020730632
111077a25a
126b38a88
1343aab60
142a78c76
151c47622
hex13c5308

20730632 has 32 divisors (see below), whose sum is σ = 42661080. Its totient is φ = 9384960.

The previous prime is 20730623. The next prime is 20730719. The reversal of 20730632 is 23603702.

It can be written as a sum of positive squares in 4 ways, for example, as 15952036 + 4778596 = 3994^2 + 2186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20730598 and 20730607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3632 + ... + 7392.

Almost surely, 220730632 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 20730632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330540).

20730632 is an abundant number, since it is smaller than the sum of its proper divisors (21930448).

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

20730632 is a wasteful number, since it uses less digits than its factorization.

20730632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 20730632 is about 4553.0903790722. The cubic root of 20730632 is about 274.7077092762.

The spelling of 20730632 in words is "twenty million, seven hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 3761 5512 7522 15044 30088 48893 97786 195572 199333 391144 398666 797332 1594664 2591329 5182658 10365316 20730632