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43130880 = 21334513
BaseRepresentation
bin1010010010001…
…0000000000000
310000011021110000
42210202000000
542020142010
64140240000
71032415002
oct244420000
9100137400
1043130880
1122389961
1212540000
138c21940
145a2a372
153bbe7c0
hex2922000

43130880 has 280 divisors, whose sum is σ = 166516812. Its totient is φ = 10616832.

The previous prime is 43130869. The next prime is 43130897. The reversal of 43130880 is 8803134.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 2985984 = 6336^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317754 + ... + 3317766.

Almost surely, 243130880 is an apocalyptic number.

43130880 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 43130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83258406).

43130880 is an abundant number, since it is smaller than the sum of its proper divisors (123385932).

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

43130880 is an equidigital number, since it uses as much as digits as its factorization.

43130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 43130880 is about 6567.4104485710. The cubic root of 43130880 is about 350.6948915550.

The spelling of 43130880 in words is "forty-three million, one hundred thirty thousand, eight hundred eighty".