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14439120 = 2435173539
BaseRepresentation
bin110111000101…
…001011010000
31000011120202020
4313011023100
512144022440
61233251440
7233505363
oct67051320
930146666
1014439120
118172363
124a03b80
132cb7277
141cbc0da
1514033d0
hexdc52d0

14439120 has 80 divisors (see below), whose sum is σ = 47407680. Its totient is φ = 3622912.

The previous prime is 14439119. The next prime is 14439157. The reversal of 14439120 is 2193441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2311 + ... + 5849.

It is an arithmetic number, because the mean of its divisors is an integer number (592596).

Almost surely, 214439120 is an apocalyptic number.

14439120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23703840).

14439120 is an abundant number, since it is smaller than the sum of its proper divisors (32968560).

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

14439120 is a wasteful number, since it uses less digits than its factorization.

14439120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14439120 is about 3799.8842087622. The cubic root of 14439120 is about 243.5081914920.

The spelling of 14439120 in words is "fourteen million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3539 4080 7078 10617 14156 17695 21234 28312 35390 42468 53085 56624 60163 70780 84936 106170 120326 141560 169872 180489 212340 240652 283120 300815 360978 424680 481304 601630 721956 849360 902445 962608 1203260 1443912 1804890 2406520 2887824 3609780 4813040 7219560 14439120