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14445480 = 2335729593
BaseRepresentation
bin110111000110…
…101110101000
31000011220110210
4313012232220
512144223410
61233341120
7233533050
oct67065650
930156423
1014445480
118177115
124a077a0
132cba12a
141cc0560
151405220
hexdc6ba8

14445480 has 128 divisors (see below), whose sum is σ = 51321600. Its totient is φ = 3182592.

The previous prime is 14445469. The next prime is 14445481. The reversal of 14445480 is 8454441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14445481) 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 31 ways as a sum of consecutive naturals, for example, 24064 + ... + 24656.

It is an arithmetic number, because the mean of its divisors is an integer number (400950).

Almost surely, 214445480 is an apocalyptic number.

14445480 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 14445480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660800).

14445480 is an abundant number, since it is smaller than the sum of its proper divisors (36876120).

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

14445480 is a wasteful number, since it uses less digits than its factorization.

14445480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 14445480 is about 3800.7209842344. The cubic root of 14445480 is about 243.5439389329.

The spelling of 14445480 in words is "fourteen million, four hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 593 609 696 812 840 870 1015 1160 1186 1218 1624 1740 1779 2030 2372 2436 2965 3045 3480 3558 4060 4151 4744 4872 5930 6090 7116 8120 8302 8895 11860 12180 12453 14232 16604 17197 17790 20755 23720 24360 24906 33208 34394 35580 41510 49812 51591 62265 68788 71160 83020 85985 99624 103182 120379 124530 137576 166040 171970 206364 240758 249060 257955 343940 361137 412728 481516 498120 515910 601895 687880 722274 963032 1031820 1203790 1444548 1805685 2063640 2407580 2889096 3611370 4815160 7222740 14445480