Search a number
-
+
14799384 = 233217107113
BaseRepresentation
bin111000011101…
…001000011000
31000211212221100
4320131020120
512242040014
61245111400
7236535615
oct70351030
930755840
1014799384
118398aa6
124b58560
1330b2242
141d7350c
151475009
hexe1d218

14799384 has 96 divisors (see below), whose sum is σ = 43215120. Its totient is φ = 4558848.

The previous prime is 14799361. The next prime is 14799397. The reversal of 14799384 is 48399741.

14799384 = T1311 + T1312 + ... + T1327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130912 + ... + 131024.

Almost surely, 214799384 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 14799384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607560).

14799384 is an abundant number, since it is smaller than the sum of its proper divisors (28415736).

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

14799384 is a wasteful number, since it uses less digits than its factorization.

14799384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 14799384 is about 3846.9967507135. The cubic root of 14799384 is about 245.5167988748.

The spelling of 14799384 in words is "fourteen million, seven hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 107 113 136 153 204 214 226 306 321 339 408 428 452 612 642 678 856 904 963 1017 1224 1284 1356 1819 1921 1926 2034 2568 2712 3638 3842 3852 4068 5457 5763 7276 7684 7704 8136 10914 11526 12091 14552 15368 16371 17289 21828 23052 24182 32742 34578 36273 43656 46104 48364 65484 69156 72546 96728 108819 130968 138312 145092 205547 217638 290184 411094 435276 616641 822188 870552 1233282 1644376 1849923 2466564 3699846 4933128 7399692 14799384