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14468940 = 22325312593
BaseRepresentation
bin110111001100…
…011101001100
31000020002122200
4313030131030
512201001230
61234041500
7233661333
oct67143514
930202580
1014468940
118192802
124a19290
132cc7a05
141cc8d1a
15140c160
hexdcc74c

14468940 has 72 divisors (see below), whose sum is σ = 45322368. Its totient is φ = 3732480.

The previous prime is 14468939. The next prime is 14468953. The reversal of 14468940 is 4986441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14468895 and 14468904.

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, 4284 + ... + 6876.

Almost surely, 214468940 is an apocalyptic number.

14468940 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 14468940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661184).

14468940 is an abundant number, since it is smaller than the sum of its proper divisors (30853428).

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

14468940 is a wasteful number, since it uses less digits than its factorization.

14468940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14468940 is about 3803.8059887434. The cubic root of 14468940 is about 243.6757091151.

The spelling of 14468940 in words is "fourteen million, four hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2593 2790 5186 5580 7779 10372 12965 15558 23337 25930 31116 38895 46674 51860 77790 80383 93348 116685 155580 160766 233370 241149 321532 401915 466740 482298 723447 803830 964596 1205745 1446894 1607660 2411490 2893788 3617235 4822980 7234470 14468940