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20826432 = 26321119173
BaseRepresentation
bin100111101110…
…0100101000000
31110012002111100
41033130211000
520312421212
62022214400
7342010314
oct117344500
943162440
1020826432
1110835230
126b84400
134412643
142aa1b44
151c65bdc
hex13dc940

20826432 has 168 divisors, whose sum is σ = 68945760. Its totient is φ = 5944320.

The previous prime is 20826427. The next prime is 20826439. The reversal of 20826432 is 23462802.

20826432 is a `hidden beast` number, since 208 + 26 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20826396 and 20826405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20826439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120298 + ... + 120470.

Almost surely, 220826432 is an apocalyptic number.

20826432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472880).

20826432 is an abundant number, since it is smaller than the sum of its proper divisors (48119328).

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

20826432 is a wasteful number, since it uses less digits than its factorization.

20826432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20826432 is about 4563.5985800681. The cubic root of 20826432 is about 275.1302171182.

The spelling of 20826432 in words is "twenty million, eight hundred twenty-six thousand, four hundred thirty-two".