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14449120 = 255721997
BaseRepresentation
bin110111000111…
…100111100000
31000012002110121
4313013213200
512144332440
61233410024
7233546500
oct67074740
930162417
1014449120
118179924
124a09914
132cbb99a
141cc1a00
15140634a
hexdc79e0

14449120 has 144 divisors (see below), whose sum is σ = 42230160. Its totient is φ = 4644864.

The previous prime is 14449111. The next prime is 14449147. The reversal of 14449120 is 2194441.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148912 + ... + 149008.

It is an arithmetic number, because the mean of its divisors is an integer number (293265).

Almost surely, 214449120 is an apocalyptic number.

14449120 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 14449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21115080).

14449120 is an abundant number, since it is smaller than the sum of its proper divisors (27781040).

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

14449120 is a wasteful number, since it uses less digits than its factorization.

14449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 14449120 is about 3801.1998105861. The cubic root of 14449120 is about 243.5643934393.

The spelling of 14449120 in words is "fourteen million, four hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 97 98 112 133 140 152 160 190 194 196 224 245 266 280 304 380 388 392 485 490 532 560 608 665 679 760 776 784 931 970 980 1064 1120 1330 1358 1520 1552 1568 1843 1862 1940 1960 2128 2660 2716 3040 3104 3395 3686 3724 3880 3920 4256 4655 4753 5320 5432 6790 7372 7448 7760 7840 9215 9310 9506 10640 10864 12901 13580 14744 14896 15520 18430 18620 19012 21280 21728 23765 25802 27160 29488 29792 36860 37240 38024 47530 51604 54320 58976 64505 73720 74480 76048 90307 95060 103208 108640 129010 147440 148960 152096 180614 190120 206416 258020 294880 361228 380240 412832 451535 516040 722456 760480 903070 1032080 1444912 1806140 2064160 2889824 3612280 7224560 14449120