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14180096 = 28741193
BaseRepresentation
bin110110000101…
…111100000000
3222200102102202
4312011330000
512112230341
61223532332
7231346250
oct66057400
928612382
1014180096
118005797
1248ba0a8
132c263b8
141c51960
1513a179b
hexd85f00

14180096 has 72 divisors (see below), whose sum is σ = 33309024. Its totient is φ = 5898240.

The previous prime is 14180093. The next prime is 14180107. The reversal of 14180096 is 69008141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14180093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73376 + ... + 73568.

Almost surely, 214180096 is an apocalyptic number.

14180096 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 14180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654512).

14180096 is an abundant number, since it is smaller than the sum of its proper divisors (19128928).

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

14180096 is an equidigital number, since it uses as much as digits as its factorization.

14180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 14180096 is about 3765.6468235882. The cubic root of 14180096 is about 242.0432953068.

The spelling of 14180096 in words is "fourteen million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 193 224 256 287 328 386 448 574 656 772 896 1148 1312 1351 1544 1792 2296 2624 2702 3088 4592 5248 5404 6176 7913 9184 10496 10808 12352 15826 18368 21616 24704 31652 36736 43232 49408 55391 63304 73472 86464 110782 126608 172928 221564 253216 345856 443128 506432 886256 1012864 1772512 2025728 3545024 7090048 14180096