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14444730 = 2345171049
BaseRepresentation
bin110111000110…
…100010111010
31000011212110000
4313012202322
512144212410
61233333430
7233530626
oct67064272
930155400
1014444730
1181765a3
124a07276
132cb99a1
141cc0186
151404dc0
hexdc68ba

14444730 has 80 divisors (see below), whose sum is σ = 41164200. Its totient is φ = 3621888.

The previous prime is 14444723. The next prime is 14444743. The reversal of 14444730 is 3744441.

It can be written as a sum of positive squares in 4 ways, for example, as 14356521 + 88209 = 3789^2 + 297^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14444694 and 14444703.

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 39 ways as a sum of consecutive naturals, for example, 13246 + ... + 14294.

Almost surely, 214444730 is an apocalyptic number.

14444730 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 14444730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582100).

14444730 is an abundant number, since it is smaller than the sum of its proper divisors (26719470).

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

14444730 is a wasteful number, since it uses less digits than its factorization.

14444730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 14444730 is about 3800.6223174633. The cubic root of 14444730 is about 243.5397239786.

The spelling of 14444730 in words is "fourteen million, four hundred forty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1049 1377 1530 2098 2295 2754 3147 4590 5245 6294 6885 9441 10490 13770 15735 17833 18882 28323 31470 35666 47205 53499 56646 84969 89165 94410 106998 141615 160497 169938 178330 267495 283230 320994 424845 481491 534990 802485 849690 962982 1444473 1604970 2407455 2888946 4814910 7222365 14444730