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43144120 = 2354753433
BaseRepresentation
bin1010010010010…
…1001110111000
310000011221121101
42210211032320
542021102440
64140421144
71032501415
oct244451670
9100157541
1043144120
11223988a8
12125477b4
138c27986
145a3110c
153bc369a
hex29253b8

43144120 has 64 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 16533504.

The previous prime is 43144111. The next prime is 43144121. The reversal of 43144120 is 2144134.

It is a super-2 number, since 2×431441202 = 3722830181148800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43144121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99424 + ... + 99856.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 243144120 is an apocalyptic number.

43144120 is a gapful number since it is divisible by the number (40) 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 43144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

43144120 is an abundant number, since it is smaller than the sum of its proper divisors (58099400).

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

43144120 is a wasteful number, since it uses less digits than its factorization.

43144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 43144120 is about 6568.4183788793. The cubic root of 43144120 is about 350.7307724624.

Adding to 43144120 its reverse (2144134), we get a palindrome (45288254).

It can be divided in two parts, 43144 and 120, that added together give a square (43264 = 2082).

The spelling of 43144120 in words is "forty-three million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 53 94 106 188 212 235 265 376 424 433 470 530 866 940 1060 1732 1880 2120 2165 2491 3464 4330 4982 8660 9964 12455 17320 19928 20351 22949 24910 40702 45898 49820 81404 91796 99640 101755 114745 162808 183592 203510 229490 407020 458980 814040 917960 1078603 2157206 4314412 5393015 8628824 10786030 21572060 43144120