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20884900 = 22524572
BaseRepresentation
bin100111110101…
…0110110100100
31110022001200211
41033222312210
520321304100
62023345204
7342342631
oct117526644
943261624
1020884900
1110875153
126bb2204
13443313a
142ab9188
151c781ba
hex13eada4

20884900 has 27 divisors (see below), whose sum is σ = 45419619. Its totient is φ = 8335680.

The previous prime is 20884861. The next prime is 20884907. The reversal of 20884900 is 948802.

The square root of 20884900 is 4570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 19430464 = 1206^2 + 4408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20884907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45472 + ... + 45928.

Almost surely, 220884900 is an apocalyptic number.

20884900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20884900 is the 4570-th square number.

It is an amenable number.

20884900 is an abundant number, since it is smaller than the sum of its proper divisors (24534719).

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

20884900 is an equidigital number, since it uses as much as digits as its factorization.

20884900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 20884900 is about 275.3874428626.

The spelling of 20884900 in words is "twenty million, eight hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 457 914 1828 2285 4570 9140 11425 22850 45700 208849 417698 835396 1044245 2088490 4176980 5221225 10442450 20884900