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21382125 = 353193001
BaseRepresentation
bin101000110010…
…0001111101101
31111020022202120
41101210033231
520433212000
62042143153
7346513362
oct121441755
944208676
1021382125
1111084786
1271b1ab9
13457855b
142ba8469
151d256a0
hex14643ed

21382125 has 32 divisors (see below), whose sum is σ = 37464960. Its totient is φ = 10800000.

The previous prime is 21382121. The next prime is 21382129. The reversal of 21382125 is 52128312.

It is an interprime number because it is at equal distance from previous prime (21382121) and next prime (21382129).

It is not a de Polignac number, because 21382125 - 22 = 21382121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21382095 and 21382104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21382121) 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 31 ways as a sum of consecutive naturals, for example, 5625 + ... + 8625.

It is an arithmetic number, because the mean of its divisors is an integer number (1170780).

Almost surely, 221382125 is an apocalyptic number.

21382125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21382125 is a deficient number, since it is larger than the sum of its proper divisors (16082835).

21382125 is a wasteful number, since it uses less digits than its factorization.

21382125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3028 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 21382125 is about 4624.0809897752. The cubic root of 21382125 is about 277.5557878261. Note that the first 3 decimals are identical.

The spelling of 21382125 in words is "twenty-one million, three hundred eighty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 1425 2375 3001 7125 9003 15005 45015 57019 75025 171057 225075 285095 375125 855285 1125375 1425475 4276425 7127375 21382125