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21342440 = 2357210889
BaseRepresentation
bin101000101101…
…0100011101000
31111011022022202
41101122203220
520430424230
62041235332
7346256600
oct121324350
944138282
1021342440
1111057989
127192b48
134563482
142b97c00
151d18a45
hex145a8e8

21342440 has 48 divisors (see below), whose sum is σ = 55865700. Its totient is φ = 7316736.

The previous prime is 21342437. The next prime is 21342443. The reversal of 21342440 is 4424312.

It is an interprime number because it is at equal distance from previous prime (21342437) and next prime (21342443).

It can be written as a sum of positive squares in 2 ways, for example, as 18472804 + 2869636 = 4298^2 + 1694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21342443) 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, 3485 + ... + 7404.

Almost surely, 221342440 is an apocalyptic number.

21342440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342440 is an abundant number, since it is smaller than the sum of its proper divisors (34523260).

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

21342440 is a wasteful number, since it uses less digits than its factorization.

21342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10914 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 21342440 is about 4619.7878739180. The cubic root of 21342440 is about 277.3839679387.

Adding to 21342440 its reverse (4424312), we get a palindrome (25766752).

The spelling of 21342440 in words is "twenty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 10889 21778 43556 54445 76223 87112 108890 152446 217780 304892 381115 435560 533561 609784 762230 1067122 1524460 2134244 2667805 3048920 4268488 5335610 10671220 21342440