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14035104 = 253248733
BaseRepresentation
bin110101100010…
…100010100000
3222102001112200
4311202202200
512043110404
61220453200
7230203446
oct65424240
928361480
1014035104
117a16866
12484a200
132ba53c5
141c14b96
151373839
hexd628a0

14035104 has 36 divisors (see below), whose sum is σ = 39913146. Its totient is φ = 4678272.

The previous prime is 14035069. The next prime is 14035121. The reversal of 14035104 is 40153041.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 3459600 = 3252^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24079 + ... + 24654.

Almost surely, 214035104 is an apocalyptic number.

It is an amenable number.

14035104 is an abundant number, since it is smaller than the sum of its proper divisors (25878042).

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

14035104 is a wasteful number, since it uses less digits than its factorization.

14035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48749 (or 48738 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14035104 is about 3746.3454192052. The cubic root of 14035104 is about 241.2155002704.

Adding to 14035104 its reverse (40153041), we get a palindrome (54188145).

The spelling of 14035104 in words is "fourteen million, thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48733 97466 146199 194932 292398 389864 438597 584796 779728 877194 1169592 1559456 1754388 2339184 3508776 4678368 7017552 14035104