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14142720 = 283529127
BaseRepresentation
bin110101111100…
…110100000000
3222121112011110
4311330310000
512110031340
61223043320
7231132264
oct65746400
928545143
1014142720
117a8a6a9
1248a0540
132c12397
141c420a4
151395680
hexd7cd00

14142720 has 144 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 3612672.

The previous prime is 14142719. The next prime is 14142721. The reversal of 14142720 is 2724141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14142719) and next prime (14142721).

It is a super-3 number, since 3×141427203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111297 + ... + 111423.

It is an arithmetic number, because the mean of its divisors is an integer number (327040).

Almost surely, 214142720 is an apocalyptic number.

14142720 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 14142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

14142720 is an abundant number, since it is smaller than the sum of its proper divisors (32951040).

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

14142720 is a wasteful number, since it uses less digits than its factorization.

14142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 14142720 is about 3760.6807894316. The cubic root of 14142720 is about 241.8304483642.

Adding to 14142720 its reverse (2724141), we get a palindrome (16866861).

The spelling of 14142720 in words is "fourteen million, one hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 127 128 145 160 174 192 232 240 254 256 290 320 348 381 384 435 464 480 508 580 635 640 696 762 768 870 928 960 1016 1160 1270 1280 1392 1524 1740 1856 1905 1920 2032 2320 2540 2784 3048 3480 3683 3712 3810 3840 4064 4640 5080 5568 6096 6960 7366 7424 7620 8128 9280 10160 11049 11136 12192 13920 14732 15240 16256 18415 18560 20320 22098 22272 24384 27840 29464 30480 32512 36830 37120 40640 44196 48768 55245 55680 58928 60960 73660 81280 88392 97536 110490 111360 117856 121920 147320 162560 176784 220980 235712 243840 294640 353568 441960 471424 487680 589280 707136 883920 942848 1178560 1414272 1767840 2357120 2828544 3535680 4714240 7071360 14142720