Search a number
-
+
14105184 = 253349421
BaseRepresentation
bin110101110011…
…101001100000
3222112121200020
4311303221200
512102331214
61222153440
7230614662
oct65635140
928477606
1014105184
117a64485
124882880
132bcb282
141c32532
1513894a9
hexd73a60

14105184 has 48 divisors (see below), whose sum is σ = 37220400. Its totient is φ = 4677120.

The previous prime is 14105167. The next prime is 14105191. The reversal of 14105184 is 48150141.

14105184 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33294 + ... + 33714.

It is an arithmetic number, because the mean of its divisors is an integer number (775425).

Almost surely, 214105184 is an apocalyptic number.

It is an amenable number.

14105184 is an abundant number, since it is smaller than the sum of its proper divisors (23115216).

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

14105184 is a wasteful number, since it uses less digits than its factorization.

14105184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 14105184 is about 3755.6868879075. The cubic root of 14105184 is about 241.6163125106.

The spelling of 14105184 in words is "fourteen million, one hundred five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 421 698 842 1047 1263 1396 1684 2094 2526 2792 3368 4188 5052 5584 6736 8376 10104 11168 13472 16752 20208 33504 40416 146929 293858 440787 587716 881574 1175432 1763148 2350864 3526296 4701728 7052592 14105184