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20804432 = 2411432749
BaseRepresentation
bin100111101011…
…1001101010000
31110010222022112
41033113031100
520311220212
62021524452
7341556215
oct117271520
943128275
1020804432
111081a750
126b73728
13440561c
142a97b0c
151c5e422
hex13d7350

20804432 has 40 divisors (see below), whose sum is σ = 45012000. Its totient is φ = 9233280.

The previous prime is 20804431. The next prime is 20804437. The reversal of 20804432 is 23440802.

It is a junction number, because it is equal to n+sod(n) for n = 20804398 and 20804407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20804431) 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 7 ways as a sum of consecutive naturals, for example, 6194 + ... + 8942.

It is an arithmetic number, because the mean of its divisors is an integer number (1125300).

Almost surely, 220804432 is an apocalyptic number.

20804432 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 20804432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506000).

20804432 is an abundant number, since it is smaller than the sum of its proper divisors (24207568).

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

20804432 is a wasteful number, since it uses less digits than its factorization.

20804432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 20804432 is about 4561.1875646590. The cubic root of 20804432 is about 275.0333050572.

The spelling of 20804432 in words is "twenty million, eight hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 2749 3784 5498 7568 10996 21992 30239 43984 60478 118207 120956 236414 241912 472828 483824 945656 1300277 1891312 2600554 5201108 10402216 20804432