Search a number
-
+
20776400 = 245251941
BaseRepresentation
bin100111101000…
…0010111010000
31110002112212022
41033100113100
520304321100
62021151012
7341411411
oct117202720
943075768
1020776400
1110800687
126b5b468
1343c5938
142a8b808
151c55e85
hex13d05d0

20776400 has 30 divisors (see below), whose sum is σ = 49916262. Its totient is φ = 8310400.

The previous prime is 20776361. The next prime is 20776421. The reversal of 20776400 is 467702.

It can be written as a sum of positive squares in 3 ways, for example, as 55696 + 20720704 = 236^2 + 4552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20776400.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 25571 + ... + 26370.

Almost surely, 220776400 is an apocalyptic number.

20776400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20776400 is an abundant number, since it is smaller than the sum of its proper divisors (29139862).

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

20776400 is a wasteful number, since it uses less digits than its factorization.

20776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51959 (or 51948 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 20776400 is about 4558.1136449194. The cubic root of 20776400 is about 274.9097224329.

The spelling of 20776400 in words is "twenty million, seven hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 51941 103882 207764 259705 415528 519410 831056 1038820 1298525 2077640 2597050 4155280 5194100 10388200 20776400