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43135040 = 2651310369
BaseRepresentation
bin1010010010001…
…1000001000000
310000011111011002
42210203001000
542020310130
64140311132
71032433064
oct244430100
9100144132
1043135040
1122391aa3
12125424a8
138c237c0
145a2baa4
153bc0b45
hex2923040

43135040 has 56 divisors (see below), whose sum is σ = 110627160. Its totient is φ = 15925248.

The previous prime is 43135039. The next prime is 43135109. The reversal of 43135040 is 4053134.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 42198016 = 968^2 + 6496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (1975485).

Almost surely, 243135040 is an apocalyptic number.

43135040 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 43135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55313580).

43135040 is an abundant number, since it is smaller than the sum of its proper divisors (67492120).

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

43135040 is a wasteful number, since it uses less digits than its factorization.

43135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 43135040 is about 6567.7271563304. The cubic root of 43135040 is about 350.7061661055.

Adding to 43135040 its reverse (4053134), we get a palindrome (47188174).

The spelling of 43135040 in words is "forty-three million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 10369 20738 41476 51845 82952 103690 134797 165904 207380 269594 331808 414760 539188 663616 673985 829520 1078376 1347970 1659040 2156752 2695940 3318080 4313504 5391880 8627008 10783760 21567520 43135040