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14119104 = 263151487
BaseRepresentation
bin110101110111…
…000011000000
3222120022202210
4311313003000
512103302404
61222342120
7231003366
oct65670300
928508683
1014119104
117a7398a
12488a940
132c046cc
141c37636
15138d689
hexd770c0

14119104 has 56 divisors (see below), whose sum is σ = 37681408. Its totient is φ = 4665600.

The previous prime is 14119103. The next prime is 14119123. The reversal of 14119104 is 40191141.

It is not an unprimeable number, because it can be changed into a prime (14119103) 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, 28749 + ... + 29235.

Almost surely, 214119104 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 14119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840704).

14119104 is an abundant number, since it is smaller than the sum of its proper divisors (23562304).

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

14119104 is a wasteful number, since it uses less digits than its factorization.

14119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 14119104 is about 3757.5396205496. The cubic root of 14119104 is about 241.6957677731.

The spelling of 14119104 in words is "fourteen million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 487 604 906 974 1208 1461 1812 1948 2416 2922 3624 3896 4832 5844 7248 7792 9664 11688 14496 15584 23376 28992 31168 46752 73537 93504 147074 220611 294148 441222 588296 882444 1176592 1764888 2353184 3529776 4706368 7059552 14119104