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21067488 = 25321317331
BaseRepresentation
bin101000001011…
…1011011100000
31110122100011100
41100113123200
520343124423
62031314400
7344033151
oct120273340
943570140
1021067488
111098a352
12707ba00
134498290
142b25928
151cb2343
hex14176e0

21067488 has 144 divisors (see below), whose sum is σ = 68520816. Its totient is φ = 6082560.

The previous prime is 21067477. The next prime is 21067493. The reversal of 21067488 is 88476012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63483 + ... + 63813.

It is an arithmetic number, because the mean of its divisors is an integer number (475839).

Almost surely, 221067488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21067488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34260408).

21067488 is an abundant number, since it is smaller than the sum of its proper divisors (47453328).

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

21067488 is a wasteful number, since it uses less digits than its factorization.

21067488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 21067488 is about 4589.9333328492. The cubic root of 21067488 is about 276.1876480695.

The spelling of 21067488 in words is "twenty-one million, sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 331 408 416 442 468 544 612 624 662 663 816 884 936 993 1224 1248 1324 1326 1632 1768 1872 1986 1989 2448 2648 2652 2979 3536 3744 3972 3978 4303 4896 5296 5304 5627 5958 7072 7944 7956 8606 10592 10608 11254 11916 12909 15888 15912 16881 17212 21216 22508 23832 25818 31776 31824 33762 34424 38727 45016 47664 50643 51636 63648 67524 68848 73151 77454 90032 95328 101286 103272 135048 137696 146302 154908 180064 202572 206544 219453 270096 292604 309816 405144 413088 438906 540192 585208 619632 658359 810288 877812 1170416 1239264 1316718 1620576 1755624 2340832 2633436 3511248 5266872 7022496 10533744 21067488