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11924016 = 2431397197
BaseRepresentation
bin101101011111…
…001000110000
3211102210200020
4231133020300
511023032031
61103323440
7203231616
oct55371060
924383606
1011924016
116804765
123bb0580
132616540
1418256b6
1510a8096
hexb5f230

11924016 has 80 divisors (see below), whose sum is σ = 33685344. Its totient is φ = 3612672.

The previous prime is 11924009. The next prime is 11924047. The reversal of 11924016 is 61042911.

11924016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60430 + ... + 60626.

Almost surely, 211924016 is an apocalyptic number.

11924016 is a gapful number since it is divisible by the number (16) 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 11924016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842672).

11924016 is an abundant number, since it is smaller than the sum of its proper divisors (21761328).

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

11924016 is a wasteful number, since it uses less digits than its factorization.

11924016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11924016 is about 3453.1168529316. The cubic root of 11924016 is about 228.4586029480.

Adding to 11924016 its reverse (61042911), we get a palindrome (72966927).

The spelling of 11924016 in words is "eleven million, nine hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 197 208 291 312 388 394 582 591 624 776 788 1164 1182 1261 1552 1576 2328 2364 2522 2561 3152 3783 4656 4728 5044 5122 7566 7683 9456 10088 10244 15132 15366 19109 20176 20488 30264 30732 38218 40976 57327 60528 61464 76436 114654 122928 152872 229308 248417 305744 458616 496834 745251 917232 993668 1490502 1987336 2981004 3974672 5962008 11924016