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21433104 = 24327111933
BaseRepresentation
bin101000111000…
…0101100010000
31111022220200200
41101300230100
520441324404
62043215200
7350115120
oct121605420
944286620
1021433104
111110a010
127217500
134595814
142bbcc80
151d35839
hex1470b10

21433104 has 120 divisors (see below), whose sum is σ = 74822592. Its totient is φ = 5564160.

The previous prime is 21433103. The next prime is 21433123. The reversal of 21433104 is 40133412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21433103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10122 + ... + 12054.

Almost surely, 221433104 is an apocalyptic number.

21433104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37411296).

21433104 is an abundant number, since it is smaller than the sum of its proper divisors (53389488).

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

21433104 is a wasteful number, since it uses less digits than its factorization.

21433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21433104 is about 4629.5900466456. The cubic root of 21433104 is about 277.7761944562.

Adding to 21433104 its reverse (40133412), we get a palindrome (61566516).

The spelling of 21433104 in words is "twenty-one million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 1933 2772 3696 3866 5544 5799 7732 11088 11598 13531 15464 17397 21263 23196 27062 30928 34794 40593 42526 46392 54124 63789 69588 81186 85052 92784 108248 121779 127578 139176 148841 162372 170104 191367 216496 243558 255156 278352 297682 324744 340208 382734 446523 487116 510312 595364 649488 765468 893046 974232 1020624 1190728 1339569 1530936 1786092 1948464 2381456 2679138 3061872 3572184 5358276 7144368 10716552 21433104