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21084231 = 377179179
BaseRepresentation
bin101000001101…
…1100001000111
31110200012010110
41100123201013
520344143411
62031524103
7344133030
oct120334107
943605113
1021084231
11109a0993
127089633
1344a2a9c
142b2ba87
151cb72a6
hex141b847

21084231 has 32 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 11662560.

The previous prime is 21084227. The next prime is 21084253. The reversal of 21084231 is 13248012.

21084231 = T5 + T6 + ... + T501.

It is not a de Polignac number, because 21084231 - 22 = 21084227 is a prime.

It is a super-2 number, since 2×210842312 = 889089593722722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21084198 and 21084207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21084631) 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 31 ways as a sum of consecutive naturals, for example, 117700 + ... + 117878.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 221084231 is an apocalyptic number.

21084231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21084231 is a deficient number, since it is larger than the sum of its proper divisors (12093369).

21084231 is a wasteful number, since it uses less digits than its factorization.

21084231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21084231 is about 4591.7568533188. The cubic root of 21084231 is about 276.2607937198.

The spelling of 21084231 in words is "twenty-one million, eighty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 21 71 79 179 213 237 497 537 553 1253 1491 1659 3759 5609 12709 14141 16827 38127 39263 42423 88963 98987 117789 266889 296961 1004011 3012033 7028077 21084231