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14444700 = 2235289541
BaseRepresentation
bin110111000110…
…100010011100
31000011212101220
4313012202130
512144212300
61233333340
7233530554
oct67064234
930155356
1014444700
118176576
124a07250
132cb997a
141cc0164
151404da0
hexdc689c

14444700 has 72 divisors (see below), whose sum is σ = 42341040. Its totient is φ = 3801600.

The previous prime is 14444671. The next prime is 14444701. The reversal of 14444700 is 744441.

14444700 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26430 + ... + 26970.

It is an arithmetic number, because the mean of its divisors is an integer number (588070).

Almost surely, 214444700 is an apocalyptic number.

14444700 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 14444700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170520).

14444700 is an abundant number, since it is smaller than the sum of its proper divisors (27896340).

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

14444700 is a wasteful number, since it uses less digits than its factorization.

14444700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 14444700 is about 3800.6183707392. The cubic root of 14444700 is about 243.5395553774.

It can be divided in two parts, 144 and 44700, that added together give a palindrome (44844).

The spelling of 14444700 in words is "fourteen million, four hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 541 890 1068 1082 1335 1623 1780 2164 2225 2670 2705 3246 4450 5340 5410 6492 6675 8115 8900 10820 13350 13525 16230 26700 27050 32460 40575 48149 54100 81150 96298 144447 162300 192596 240745 288894 481490 577788 722235 962980 1203725 1444470 2407450 2888940 3611175 4814900 7222350 14444700