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20730880 = 21054049
BaseRepresentation
bin100111100010…
…1010000000000
31110000020102101
41033011100000
520301342010
62020200144
7341131612
oct117052000
943006371
1020730880
111077a465
126b39054
1343aacc1
142a78db2
151c4773a
hex13c5400

20730880 has 44 divisors (see below), whose sum is σ = 49742100. Its totient is φ = 8290304.

The previous prime is 20730869. The next prime is 20730887. The reversal of 20730880 is 8803702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 14500864 = 2496^2 + 3808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20730887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3096 + ... + 7144.

Almost surely, 220730880 is an apocalyptic number.

20730880 is a gapful number since it is divisible by the number (20) 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 20730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871050).

20730880 is an abundant number, since it is smaller than the sum of its proper divisors (29011220).

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

20730880 is an equidigital number, since it uses as much as digits as its factorization.

20730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 20730880 is about 4553.1176132404. The cubic root of 20730880 is about 274.7088047121.

The spelling of 20730880 in words is "twenty million, seven hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 4049 5120 8098 16196 20245 32392 40490 64784 80980 129568 161960 259136 323920 518272 647840 1036544 1295680 2073088 2591360 4146176 5182720 10365440 20730880