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21483630 = 23657421
BaseRepresentation
bin101000111110…
…1000001101110
31111102111000000
41101331001232
520444434010
62044245130
7350415330
oct121750156
944374000
1021483630
1111143a73
1272407a6
1345b280c
142bd3450
151d457c0
hex147d06e

21483630 has 112 divisors (see below), whose sum is σ = 66419424. Its totient is φ = 4898880.

The previous prime is 21483593. The next prime is 21483641. The reversal of 21483630 is 3638412.

It is a happy number.

21483630 is a `hidden beast` number, since 21 + 4 + 8 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21483594 and 21483603.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 50820 + ... + 51240.

Almost surely, 221483630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21483630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33209712).

21483630 is an abundant number, since it is smaller than the sum of its proper divisors (44935794).

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

21483630 is an equidigital number, since it uses as much as digits as its factorization.

21483630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 21483630 is about 4635.0436891145. The cubic root of 21483630 is about 277.9942979698.

It can be divided in two parts, 2148 and 3630, that added together give a triangular number (5778 = T107).

The spelling of 21483630 in words is "twenty-one million, four hundred eighty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 421 486 567 630 729 810 842 945 1134 1215 1263 1458 1701 1890 2105 2430 2526 2835 2947 3402 3645 3789 4210 5103 5670 5894 6315 7290 7578 8505 8841 10206 11367 12630 14735 17010 17682 18945 22734 25515 26523 29470 34101 37890 44205 51030 53046 56835 68202 79569 88410 102303 113670 132615 159138 170505 204606 238707 265230 306909 341010 397845 477414 511515 613818 716121 795690 1023030 1193535 1432242 1534545 2148363 2387070 3069090 3580605 4296726 7161210 10741815 21483630