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21671430 = 23511173863
BaseRepresentation
bin101001010101…
…0111000000110
31111210000121120
41102222320012
521021441210
62052254410
7352130004
oct122527006
944700546
1021671430
1111262080
127311406
13464a141
142c41a74
151d81270
hex14aae06

21671430 has 64 divisors (see below), whose sum is σ = 60092928. Its totient is φ = 4943360.

The previous prime is 21671417. The next prime is 21671431. The reversal of 21671430 is 3417612.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21671430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21671431) 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, 3679 + ... + 7541.

It is an arithmetic number, because the mean of its divisors is an integer number (938952).

Almost surely, 221671430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21671430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046464).

21671430 is an abundant number, since it is smaller than the sum of its proper divisors (38421498).

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

21671430 is a wasteful number, since it uses less digits than its factorization.

21671430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 21671430 is about 4655.2583172151. The cubic root of 21671430 is about 278.8019817661.

The spelling of 21671430 in words is "twenty-one million, six hundred seventy-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 3863 5610 7726 11589 19315 23178 38630 42493 57945 65671 84986 115890 127479 131342 197013 212465 254958 328355 394026 424930 637395 656710 722381 985065 1274790 1444762 1970130 2167143 3611905 4334286 7223810 10835715 21671430