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14800896 = 211321173
BaseRepresentation
bin111000011101…
…100000000000
31000211222000100
4320131200000
512242112041
61245122400
7236543205
oct70354000
930758010
1014800896
11839a150
124b59400
1330b2b36
141d73cac
1514756b6
hexe1d800

14800896 has 144 divisors (see below), whose sum is σ = 47272680. Its totient is φ = 4423680.

The previous prime is 14800879. The next prime is 14800921. The reversal of 14800896 is 69800841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14800896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202716 + ... + 202788.

Almost surely, 214800896 is an apocalyptic number.

14800896 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 14800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636340).

14800896 is an abundant number, since it is smaller than the sum of its proper divisors (32471784).

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

14800896 is a wasteful number, since it uses less digits than its factorization.

14800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14800896 is about 3847.1932626267. The cubic root of 14800896 is about 245.5251597804.

Subtracting 14800896 from its reverse (69800841), we obtain a palindrome (54999945).

The spelling of 14800896 in words is "fourteen million, eight hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 73 88 96 99 128 132 144 146 176 192 198 219 256 264 288 292 352 384 396 438 512 528 576 584 657 704 768 792 803 876 1024 1056 1152 1168 1314 1408 1536 1584 1606 1752 2048 2112 2304 2336 2409 2628 2816 3072 3168 3212 3504 4224 4608 4672 4818 5256 5632 6144 6336 6424 7008 7227 8448 9216 9344 9636 10512 11264 12672 12848 14016 14454 16896 18432 18688 19272 21024 22528 25344 25696 28032 28908 33792 37376 38544 42048 50688 51392 56064 57816 67584 74752 77088 84096 101376 102784 112128 115632 149504 154176 168192 202752 205568 224256 231264 308352 336384 411136 448512 462528 616704 672768 822272 925056 1233408 1345536 1644544 1850112 2466816 3700224 4933632 7400448 14800896