Search a number
-
+
43068480 = 26357131729
BaseRepresentation
bin1010010001001…
…0110001000000
310000001002211220
42210102301000
542011142410
64135035040
71032035040
oct244226100
9100032756
1043068480
1122346a94
121250ba80
138bcc410
145a11720
153bab070
hex2912c40

43068480 has 448 divisors, whose sum is σ = 184343040. Its totient is φ = 8257536.

The previous prime is 43068479. The next prime is 43068503. The reversal of 43068480 is 8486034.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485106 + ... + 1485134.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 243068480 is an apocalyptic number.

43068480 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 43068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

43068480 is an abundant number, since it is smaller than the sum of its proper divisors (141274560).

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

43068480 is a wasteful number, since it uses less digits than its factorization.

43068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 43068480 is about 6562.6579980980. The cubic root of 43068480 is about 350.5256862351.

The spelling of 43068480 in words is "forty-three million, sixty-eight thousand, four hundred eighty".