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14456104 = 2313971433
BaseRepresentation
bin110111001001…
…010100101000
31000012110001021
4313021110220
512200043404
61233502224
7233606035
oct67112450
930173037
1014456104
1181840a3
124a11974
132cc1c10
141cc438c
151408454
hexdc9528

14456104 has 32 divisors (see below), whose sum is σ = 29511720. Its totient is φ = 6598656.

The previous prime is 14456081. The next prime is 14456107. The reversal of 14456104 is 40165441.

It can be written as a sum of positive squares in 4 ways, for example, as 11902500 + 2553604 = 3450^2 + 1598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456107) by changing a digit.

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, 9372 + ... + 10804.

Almost surely, 214456104 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 14456104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755860).

14456104 is an abundant number, since it is smaller than the sum of its proper divisors (15055616).

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

14456104 is a wasteful number, since it uses less digits than its factorization.

14456104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14456104 is about 3802.1183569163. The cubic root of 14456104 is about 243.6036295019.

The spelling of 14456104 in words is "fourteen million, four hundred fifty-six thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 1433 2522 2866 5044 5732 10088 11464 18629 37258 74516 139001 149032 278002 556004 1112008 1807013 3614026 7228052 14456104