Search a number
-
+
43079040 = 27355277
BaseRepresentation
bin1010010001010…
…1010110000000
310000001122100000
42210111112000
542012012130
64135200000
71032110604
oct244252600
9100048300
1043079040
1122353a14
1212516000
138c04174
145a15504
153bae260
hex2915580

43079040 has 192 divisors, whose sum is σ = 154823760. Its totient is φ = 11446272.

The previous prime is 43079021. The next prime is 43079041. The reversal of 43079040 is 4097034.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 43078995 and 43079013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43079041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155382 + ... + 155658.

Almost surely, 243079040 is an apocalyptic number.

43079040 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 43079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77411880).

43079040 is an abundant number, since it is smaller than the sum of its proper divisors (111744720).

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

43079040 is an equidigital number, since it uses as much as digits as its factorization.

43079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 43079040 is about 6563.4625008451. The cubic root of 43079040 is about 350.5543324652.

The spelling of 43079040 in words is "forty-three million, seventy-nine thousand, forty".