Search a number
-
+
14453376 = 273719283
BaseRepresentation
bin110111001000…
…101010000000
31000012022022020
4313020222000
512200002001
61233441440
7233565060
oct67105200
930168266
1014453376
118182043
124a10280
132cc08c2
141cc33a0
151407736
hexdc8a80

14453376 has 128 divisors (see below), whose sum is σ = 46348800. Its totient is φ = 3898368.

The previous prime is 14453353. The next prime is 14453389. The reversal of 14453376 is 67335441.

14453376 is a nontrivial binomial coefficient, being equal to C(5377, 2).

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

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, 50931 + ... + 51213.

It is an arithmetic number, because the mean of its divisors is an integer number (362100).

Almost surely, 214453376 is an apocalyptic number.

14453376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14453376 is the 5376-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23174400).

14453376 is an abundant number, since it is smaller than the sum of its proper divisors (31895424).

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

14453376 is a wasteful number, since it uses less digits than its factorization.

14453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 14453376 is about 3801.7595926097. The cubic root of 14453376 is about 243.5883051215.

The spelling of 14453376 in words is "fourteen million, four hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 283 304 336 384 399 448 456 532 566 608 672 798 849 896 912 1064 1132 1216 1344 1596 1698 1824 1981 2128 2264 2432 2688 3192 3396 3648 3962 4256 4528 5377 5943 6384 6792 7296 7924 8512 9056 10754 11886 12768 13584 15848 16131 17024 18112 21508 23772 25536 27168 31696 32262 36224 37639 43016 47544 51072 54336 63392 64524 75278 86032 95088 108672 112917 126784 129048 150556 172064 190176 225834 253568 258096 301112 344128 380352 451668 516192 602224 688256 760704 903336 1032384 1204448 1806672 2064768 2408896 3613344 4817792 7226688 14453376