Search a number
-
+
14253184 = 271153191
BaseRepresentation
bin110110010111…
…110010000000
3222211010200201
4312113302000
512122100214
61225254544
7232102321
oct66276200
928733621
1014253184
1180556a0
124934454
132c5074a
141c70448
1513b8274
hexd97c80

14253184 has 64 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 6323200.

The previous prime is 14253137. The next prime is 14253223. The reversal of 14253184 is 48135241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74529 + ... + 74719.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 214253184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

14253184 is an abundant number, since it is smaller than the sum of its proper divisors (17472896).

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

14253184 is a wasteful number, since it uses less digits than its factorization.

14253184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 14253184 is about 3775.3389251827. The cubic root of 14253184 is about 242.4584347933.

The spelling of 14253184 in words is "fourteen million, two hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 191 212 352 382 424 583 704 764 848 1166 1408 1528 1696 2101 2332 3056 3392 4202 4664 6112 6784 8404 9328 10123 12224 16808 18656 20246 24448 33616 37312 40492 67232 74624 80984 111353 134464 161968 222706 268928 323936 445412 647872 890824 1295744 1781648 3563296 7126592 14253184