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43140024 = 23321913137
BaseRepresentation
bin1010010010010…
…0001110111000
310000011201222200
42210210032320
542020440044
64140350200
71032453444
oct244441670
9100151880
1043140024
1122395814
1212545360
138c25b55
145a2d824
153bc2369
hex29243b8

43140024 has 48 divisors (see below), whose sum is σ = 117486720. Its totient is φ = 14300160.

The previous prime is 43140011. The next prime is 43140037. The reversal of 43140024 is 42004134.

It is an interprime number because it is at equal distance from previous prime (43140011) and next prime (43140037).

It is a super-2 number, since 2×431400242 = 3722123341441152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 43139979 and 43140006.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12184 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (2447640).

Almost surely, 243140024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58743360).

43140024 is an abundant number, since it is smaller than the sum of its proper divisors (74346696).

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

43140024 is a wasteful number, since it uses less digits than its factorization.

43140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 43140024 is about 6568.1065764800. The cubic root of 43140024 is about 350.7196729297.

Adding to 43140024 its reverse (42004134), we get a palindrome (85144158).

The spelling of 43140024 in words is "forty-three million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3137 3438 4584 6274 6876 9411 12548 13752 18822 25096 28233 37644 56466 75288 112932 225864 599167 1198334 1797501 2396668 3595002 4793336 5392503 7190004 10785006 14380008 21570012 43140024