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21276400 = 2452431237
BaseRepresentation
bin101000100101…
…0011011110000
31111000221201211
41101022123300
520421321100
62040005504
7345563215
oct121123360
944027654
1021276400
1111012302
127160894
13453c3b2
142b7bb0c
151d041ba
hex144a6f0

21276400 has 60 divisors (see below), whose sum is σ = 52347592. Its totient is φ = 8305920.

The previous prime is 21276389. The next prime is 21276407. The reversal of 21276400 is 467212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21276407) 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 11 ways as a sum of consecutive naturals, for example, 16582 + ... + 17818.

Almost surely, 221276400 is an apocalyptic number.

21276400 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 21276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26173796).

21276400 is an abundant number, since it is smaller than the sum of its proper divisors (31071192).

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

21276400 is a wasteful number, since it uses less digits than its factorization.

21276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 21276400 is about 4612.6348218778. The cubic root of 21276400 is about 277.0975688819.

The spelling of 21276400 in words is "twenty-one million, two hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1237 1720 2150 2474 3440 4300 4948 6185 8600 9896 12370 17200 19792 24740 30925 49480 53191 61850 98960 106382 123700 212764 247400 265955 425528 494800 531910 851056 1063820 1329775 2127640 2659550 4255280 5319100 10638200 21276400