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21486800 = 245253717
BaseRepresentation
bin101000111110…
…1110011010000
31111102122100102
41101331303100
521000034200
62044311532
7350430506
oct121756320
944378312
1021486800
1111146395
1272425a8
1345b40aa
142bd4676
151d466d5
hex147dcd0

21486800 has 30 divisors (see below), whose sum is σ = 51622998. Its totient is φ = 8594560.

The previous prime is 21486781. The next prime is 21486809. The reversal of 21486800 is 868412.

It can be written as a sum of positive squares in 3 ways, for example, as 1308736 + 20178064 = 1144^2 + 4492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21486809) 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 5 ways as a sum of consecutive naturals, for example, 26459 + ... + 27258.

Almost surely, 221486800 is an apocalyptic number.

21486800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21486800 is an abundant number, since it is smaller than the sum of its proper divisors (30136198).

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

21486800 is a wasteful number, since it uses less digits than its factorization.

21486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53735 (or 53724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 21486800 is about 4635.3856366003. The cubic root of 21486800 is about 278.0079703734.

The spelling of 21486800 in words is "twenty-one million, four hundred eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 53717 107434 214868 268585 429736 537170 859472 1074340 1342925 2148680 2685850 4297360 5371700 10743400 21486800