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14444760 = 23351131353
BaseRepresentation
bin110111000110…
…100011011000
31000011212111010
4313012203120
512144213020
61233333520
7233531001
oct67064330
930155433
1014444760
118176620
124a072a0
132cb99c5
141cc01a8
151404de0
hexdc68d8

14444760 has 128 divisors (see below), whose sum is σ = 48936960. Its totient is φ = 3379200.

The previous prime is 14444743. The next prime is 14444783. The reversal of 14444760 is 6744441.

14444760 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 Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40744 + ... + 41096.

It is an arithmetic number, because the mean of its divisors is an integer number (382320).

Almost surely, 214444760 is an apocalyptic number.

14444760 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 14444760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24468480).

14444760 is an abundant number, since it is smaller than the sum of its proper divisors (34492200).

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

14444760 is a wasteful number, since it uses less digits than its factorization.

14444760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 14444760 is about 3800.6262641833. The cubic root of 14444760 is about 243.5398925796.

The spelling of 14444760 in words is "fourteen million, four hundred forty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 353 372 440 465 620 660 682 706 744 930 1023 1059 1240 1320 1364 1412 1705 1765 1860 2046 2118 2728 2824 3410 3530 3720 3883 4092 4236 5115 5295 6820 7060 7766 8184 8472 10230 10590 10943 11649 13640 14120 15532 19415 20460 21180 21886 23298 31064 32829 38830 40920 42360 43772 46596 54715 58245 65658 77660 87544 93192 109430 116490 120373 131316 155320 164145 218860 232980 240746 262632 328290 361119 437720 465960 481492 601865 656580 722238 962984 1203730 1313160 1444476 1805595 2407460 2888952 3611190 4814920 7222380 14444760