Search a number
-
+
43078080 = 2635231951
BaseRepresentation
bin1010010001010…
…1000111000000
310000001121000110
42210111013000
542011444310
64135151320
71032105033
oct244250700
9100047013
1043078080
1122353221
1212515540
138c038b6
145a1501a
153badd20
hex29151c0

43078080 has 112 divisors (see below), whose sum is σ = 142792704. Its totient is φ = 10982400.

The previous prime is 43078069. The next prime is 43078097. The reversal of 43078080 is 8087034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21105 + ... + 23055.

Almost surely, 243078080 is an apocalyptic number.

43078080 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 43078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71396352).

43078080 is an abundant number, since it is smaller than the sum of its proper divisors (99714624).

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

43078080 is a wasteful number, since it uses less digits than its factorization.

43078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 43078080 is about 6563.3893683066. The cubic root of 43078080 is about 350.5517284559.

The spelling of 43078080 in words is "forty-three million, seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 1951 2208 2760 3680 3902 4416 5520 5853 7360 7804 9755 11040 11706 15608 19510 22080 23412 29265 31216 39020 44873 46824 58530 62432 78040 89746 93648 117060 124864 134619 156080 179492 187296 224365 234120 269238 312160 358984 374592 448730 468240 538476 624320 673095 717968 897460 936480 1076952 1346190 1435936 1794920 1872960 2153904 2692380 2871872 3589840 4307808 5384760 7179680 8615616 10769520 14359360 21539040 43078080