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21039744 = 2731117293
BaseRepresentation
bin101000001000…
…0101010000000
31110120221002210
41100100222000
520341232434
62030542120
7343556235
oct120205200
943527083
1021039744
1110970520
127067940
13448876b
142b1978c
151ca8ee9
hex1410a80

21039744 has 128 divisors (see below), whose sum is σ = 64774080. Its totient is φ = 5980160.

The previous prime is 21039721. The next prime is 21039749. The reversal of 21039744 is 44793012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21039749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71662 + ... + 71954.

Almost surely, 221039744 is an apocalyptic number.

21039744 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 21039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387040).

21039744 is an abundant number, since it is smaller than the sum of its proper divisors (43734336).

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

21039744 is a wasteful number, since it uses less digits than its factorization.

21039744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 21039744 is about 4586.9100710609. The cubic root of 21039744 is about 276.0663566559.

The spelling of 21039744 in words is "twenty-one million, thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 293 352 374 384 408 528 544 561 586 704 748 816 879 1056 1088 1122 1172 1408 1496 1632 1758 2112 2176 2244 2344 2992 3223 3264 3516 4224 4488 4688 4981 5984 6446 6528 7032 8976 9376 9669 9962 11968 12892 14064 14943 17952 18752 19338 19924 23936 25784 28128 29886 35904 37504 38676 39848 51568 54791 56256 59772 71808 77352 79696 103136 109582 112512 119544 154704 159392 164373 206272 219164 239088 309408 318784 328746 412544 438328 478176 618816 637568 657492 876656 956352 1237632 1314984 1753312 1912704 2629968 3506624 5259936 7013248 10519872 21039744