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14445000 = 233354107
BaseRepresentation
bin110111000110…
…100111001000
31000011212211000
4313012213020
512144220000
61233335000
7233531463
oct67064710
930155730
1014445000
118176819
124a07460
132cb9b4b
141cc02da
151405000
hexdc69c8

14445000 has 160 divisors (see below), whose sum is σ = 50608800. Its totient is φ = 3816000.

The previous prime is 14444993. The next prime is 14445001. The reversal of 14445000 is 54441.

14445000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14445001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134947 + ... + 135053.

It is an arithmetic number, because the mean of its divisors is an integer number (316305).

Almost surely, 214445000 is an apocalyptic number.

14445000 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 14445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304400).

14445000 is an abundant number, since it is smaller than the sum of its proper divisors (36163800).

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

14445000 is a wasteful number, since it uses less digits than its factorization.

14445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14445000 is about 3800.6578377960. The cubic root of 14445000 is about 243.5412413790.

Adding to 14445000 its reverse (54441), we get a palindrome (14499441).

The spelling of 14445000 in words is "fourteen million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 107 108 120 125 135 150 180 200 214 216 225 250 270 300 321 360 375 428 450 500 535 540 600 625 642 675 750 856 900 963 1000 1070 1080 1125 1250 1284 1350 1500 1605 1800 1875 1926 2140 2250 2500 2568 2675 2700 2889 3000 3210 3375 3750 3852 4280 4500 4815 5000 5350 5400 5625 5778 6420 6750 7500 7704 8025 9000 9630 10700 11250 11556 12840 13375 13500 14445 15000 16050 16875 19260 21400 22500 23112 24075 26750 27000 28890 32100 33750 38520 40125 45000 48150 53500 57780 64200 66875 67500 72225 80250 96300 107000 115560 120375 133750 135000 144450 160500 192600 200625 240750 267500 288900 321000 361125 401250 481500 535000 577800 601875 722250 802500 963000 1203750 1444500 1605000 1805625 2407500 2889000 3611250 4815000 7222500 14445000