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14130264 = 2331759587
BaseRepresentation
bin110101111001…
…110001011000
3222120220002010
4311321301120
512104132024
61222505520
7231051051
oct65716130
928526063
1014130264
117a81305
1248952a0
132c09805
141c3b728
151391b29
hexd79c58

14130264 has 64 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4350464.

The previous prime is 14130253. The next prime is 14130269. The reversal of 14130264 is 46203141.

It is a self number, because there is not a number n which added to its sum of digits gives 14130264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130269) by changing a digit.

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, 23779 + ... + 24365.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 214130264 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 14130264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

14130264 is an abundant number, since it is smaller than the sum of its proper divisors (23972136).

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

14130264 is a wasteful number, since it uses less digits than its factorization.

14130264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 14130264 is about 3759.0243415014. The cubic root of 14130264 is about 241.7594312655.

The spelling of 14130264 in words is "fourteen million, one hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 587 708 1003 1174 1416 1761 2006 2348 3009 3522 4012 4696 6018 7044 8024 9979 12036 14088 19958 24072 29937 34633 39916 59874 69266 79832 103899 119748 138532 207798 239496 277064 415596 588761 831192 1177522 1766283 2355044 3532566 4710088 7065132 14130264