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14461720 = 23571329137
BaseRepresentation
bin110111001010…
…101100011000
31000012201202021
4313022230120
512200233340
61233544224
7233631310
oct67125430
930181667
1014461720
118188339
124a15074
132cc4640
141cc6440
151409e4a
hexdcab18

14461720 has 128 divisors (see below), whose sum is σ = 41731200. Its totient is φ = 4386816.

The previous prime is 14461703. The next prime is 14461757. The reversal of 14461720 is 2716441.

14461720 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

14461720 is strictly pandigital in base 8.

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, 105492 + ... + 105628.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 214461720 is an apocalyptic number.

14461720 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 14461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600).

14461720 is an abundant number, since it is smaller than the sum of its proper divisors (27269480).

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

14461720 is a wasteful number, since it uses less digits than its factorization.

14461720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 14461720 is about 3802.8568208651. The cubic root of 14461720 is about 243.6351709845.

The spelling of 14461720 in words is "fourteen million, four hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 116 130 137 140 145 182 203 232 260 274 280 290 364 377 406 455 520 548 580 685 728 754 812 910 959 1015 1096 1160 1370 1508 1624 1781 1820 1885 1918 2030 2639 2740 3016 3562 3640 3770 3836 3973 4060 4795 5278 5480 7124 7540 7672 7946 8120 8905 9590 10556 12467 13195 14248 15080 15892 17810 19180 19865 21112 24934 26390 27811 31784 35620 38360 39730 49868 51649 52780 55622 62335 71240 79460 99736 103298 105560 111244 124670 139055 158920 206596 222488 249340 258245 278110 361543 413192 498680 516490 556220 723086 1032980 1112440 1446172 1807715 2065960 2892344 3615430 7230860 14461720