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21376400 = 245253441
BaseRepresentation
bin101000110001…
…0110110010000
31111020000220112
41101202312100
520433021100
62042100452
7346460603
oct121426620
944200815
1021376400
1111080451
1271aa728
134575a76
142ba633a
151d23b35
hex1462d90

21376400 has 30 divisors (see below), whose sum is σ = 51357762. Its totient is φ = 8550400.

The previous prime is 21376357. The next prime is 21376403. The reversal of 21376400 is 467312.

It can be written as a sum of positive squares in 3 ways, for example, as 2262016 + 19114384 = 1504^2 + 4372^2 .

It is not an unprimeable number, because it can be changed into a prime (21376403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26321 + ... + 27120.

Almost surely, 221376400 is an apocalyptic number.

21376400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21376400 is an abundant number, since it is smaller than the sum of its proper divisors (29981362).

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

21376400 is a wasteful number, since it uses less digits than its factorization.

21376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53459 (or 53448 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 21376400 is about 4623.4619064074. The cubic root of 21376400 is about 277.5310140377.

The spelling of 21376400 in words is "twenty-one million, three hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 53441 106882 213764 267205 427528 534410 855056 1068820 1336025 2137640 2672050 4275280 5344100 10688200 21376400