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21300264 = 2332295837
BaseRepresentation
bin101000101000…
…0010000101000
31111002011110200
41101100100220
520423102024
62040312200
7346022616
oct121202050
944064420
1021300264
1111029227
127172660
13454a20b
142b866b6
151d0b2c9
hex1450428

21300264 has 24 divisors (see below), whose sum is σ = 57688410. Its totient is φ = 7100064.

The previous prime is 21300233. The next prime is 21300287. The reversal of 21300264 is 46200312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18922500 + 2377764 = 4350^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147847 + ... + 147990.

Almost surely, 221300264 is an apocalyptic number.

21300264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21300264 is an abundant number, since it is smaller than the sum of its proper divisors (36388146).

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

21300264 is a wasteful number, since it uses less digits than its factorization.

21300264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295849 (or 295842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21300264 is about 4615.2209047888. The cubic root of 21300264 is about 277.2011294095.

Adding to 21300264 its reverse (46200312), we get a palindrome (67500576).

The spelling of 21300264 in words is "twenty-one million, three hundred thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 295837 591674 887511 1183348 1775022 2366696 2662533 3550044 5325066 7100088 10650132 21300264