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14182896 = 24371317191
BaseRepresentation
bin110110000110…
…100111110000
3222200120021110
4312012213300
512112323041
61223553320
7231360360
oct66064760
928616243
1014182896
118007902
1248bb840
132c27760
141c529a0
1513a2516
hexd869f0

14182896 has 160 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 3502080.

The previous prime is 14182871. The next prime is 14182907. The reversal of 14182896 is 69828141.

14182896 is digitally balanced in base 2 and base 4, because in such bases 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74161 + ... + 74351.

Almost surely, 214182896 is an apocalyptic number.

14182896 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 14182896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

14182896 is an abundant number, since it is smaller than the sum of its proper divisors (33814032).

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

14182896 is a wasteful number, since it uses less digits than its factorization.

14182896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 14182896 is about 3766.0185873147. The cubic root of 14182896 is about 242.0592255380.

The spelling of 14182896 in words is "fourteen million, one hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 191 204 208 221 238 272 273 312 336 357 364 382 408 442 476 546 573 624 663 714 728 764 816 884 952 1092 1146 1326 1337 1428 1456 1528 1547 1768 1904 2184 2292 2483 2652 2674 2856 3056 3094 3247 3536 4011 4368 4584 4641 4966 5304 5348 5712 6188 6494 7449 8022 9168 9282 9741 9932 10608 10696 12376 12988 14898 16044 17381 18564 19482 19864 21392 22729 24752 25976 29796 32088 34762 37128 38964 39728 42211 45458 51952 52143 59592 64176 68187 69524 74256 77928 84422 90916 104286 119184 126633 136374 139048 155856 168844 181832 208572 253266 272748 278096 295477 337688 363664 417144 506532 545496 590954 675376 834288 886431 1013064 1090992 1181908 1772862 2026128 2363816 3545724 4727632 7091448 14182896