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14216104 = 2371931431
BaseRepresentation
bin110110001110…
…101110101000
3222202020211101
4312032232220
512114403404
61224411144
7231556240
oct66165650
928666741
1014216104
11802a851
124916ab4
132c398c6
141c60b20
1513ac2a4
hexd8eba8

14216104 has 64 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 5572800.

The previous prime is 14216077. The next prime is 14216113. The reversal of 14216104 is 40161241.

It is a super-2 number, since 2×142161042 = 404195225877632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32769 + ... + 33199.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 214216104 is an apocalyptic number.

14216104 is a gapful number since it is divisible by the number (14) 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 14216104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

14216104 is an abundant number, since it is smaller than the sum of its proper divisors (18961496).

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

14216104 is a wasteful number, since it uses less digits than its factorization.

14216104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14216104 is about 3770.4249097416. The cubic root of 14216104 is about 242.2479983916.

Adding to 14216104 its reverse (40161241), we get a palindrome (54377345).

The spelling of 14216104 in words is "fourteen million, two hundred sixteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 431 434 532 589 862 868 1064 1178 1724 1736 2356 3017 3448 4123 4712 6034 8189 8246 12068 13361 16378 16492 24136 26722 32756 32984 53444 57323 65512 93527 106888 114646 187054 229292 253859 374108 458584 507718 748216 1015436 1777013 2030872 3554026 7108052 14216104