Search a number
-
+
21043968 = 283114753
BaseRepresentation
bin101000001000…
…1101100000000
31110121010220020
41100101230000
520341401333
62031013440
7343604451
oct120215400
943533806
1021043968
1110973710
12706a280
13448a66a
142b1b128
151caa3b3
hex1411b00

21043968 has 144 divisors (see below), whose sum is σ = 63576576. Its totient is φ = 6123520.

The previous prime is 21043949. The next prime is 21043973. The reversal of 21043968 is 86934012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397030 + ... + 397082.

It is an arithmetic number, because the mean of its divisors is an integer number (441504).

Almost surely, 221043968 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 21043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31788288).

21043968 is an abundant number, since it is smaller than the sum of its proper divisors (42532608).

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

21043968 is a wasteful number, since it uses less digits than its factorization.

21043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21043968 is about 4587.3704886351. The cubic root of 21043968 is about 276.0848300470.

The spelling of 21043968 in words is "twenty-one million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 53 64 66 88 94 96 106 128 132 141 159 176 188 192 212 256 264 282 318 352 376 384 424 517 528 564 583 636 704 752 768 848 1034 1056 1128 1166 1272 1408 1504 1551 1696 1749 2068 2112 2256 2332 2491 2544 2816 3008 3102 3392 3498 4136 4224 4512 4664 4982 5088 6016 6204 6784 6996 7473 8272 8448 9024 9328 9964 10176 12032 12408 13568 13992 14946 16544 18048 18656 19928 20352 24816 27401 27984 29892 33088 36096 37312 39856 40704 49632 54802 55968 59784 66176 74624 79712 82203 99264 109604 111936 119568 132352 149248 159424 164406 198528 219208 223872 239136 318848 328812 397056 438416 447744 478272 637696 657624 876832 956544 1315248 1753664 1913088 2630496 3507328 5260992 7014656 10521984 21043968