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14416830 = 2325413907
BaseRepresentation
bin110110111111…
…101110111110
31000010110011200
4312333232332
512142314310
61233000330
7233353401
oct66775676
930113150
1014416830
11815763a
1249b30a6
132caa08c
141cb3d38
1513eb9c0
hexdbfbbe

14416830 has 48 divisors (see below), whose sum is σ = 38407824. Its totient is φ = 3749760.

The previous prime is 14416813. The next prime is 14416849. The reversal of 14416830 is 3861441.

It is a junction number, because it is equal to n+sod(n) for n = 14416794 and 14416803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (800163).

Almost surely, 214416830 is an apocalyptic number.

14416830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14416830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203912).

14416830 is an abundant number, since it is smaller than the sum of its proper divisors (23990994).

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

14416830 is a wasteful number, since it uses less digits than its factorization.

14416830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14416830 is about 3796.9500918500. The cubic root of 14416830 is about 243.3828239029.

The spelling of 14416830 in words is "fourteen million, four hundred sixteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 3907 7814 11721 19535 23442 35163 39070 58605 70326 117210 160187 175815 320374 351630 480561 800935 961122 1441683 1601870 2402805 2883366 4805610 7208415 14416830