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21146328 = 2332741957
BaseRepresentation
bin101000010101…
…0101011011000
31110210100022100
41100222223120
520403140303
62033123400
7344512050
oct120525330
943710270
1021146328
1110a33605
1270b9560
1344c5128
142b46560
151cca8a3
hex142aad8

21146328 has 48 divisors (see below), whose sum is σ = 65454480. Its totient is φ = 6041664.

The previous prime is 21146299. The next prime is 21146329. The reversal of 21146328 is 82364112.

21146328 is a `hidden beast` number, since 21 + 1 + 4 + 632 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21146329) 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, 20475 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 221146328 is an apocalyptic number.

21146328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21146328 is an abundant number, since it is smaller than the sum of its proper divisors (44308152).

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

21146328 is a wasteful number, since it uses less digits than its factorization.

21146328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41976 (or 41969 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21146328 is about 4598.5136729165. The cubic root of 21146328 is about 276.5317411162.

The spelling of 21146328 in words is "twenty-one million, one hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 41957 83914 125871 167828 251742 293699 335656 377613 503484 587398 755226 881097 1006968 1174796 1510452 1762194 2349592 2643291 3020904 3524388 5286582 7048776 10573164 21146328