Search a number
-
+
43066080 = 253453323
BaseRepresentation
bin1010010001001…
…0001011100000
310000000222120000
42210102023200
542011103310
64135020000
71032025041
oct244221340
9100028500
1043066080
1122345202
121250a600
138bcb2b5
145a108c8
153baa4c0
hex29122e0

43066080 has 120 divisors (see below), whose sum is σ = 152033112. Its totient is φ = 11480832.

The previous prime is 43066069. The next prime is 43066129. The reversal of 43066080 is 8066034.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11299 + ... + 14621.

Almost surely, 243066080 is an apocalyptic number.

43066080 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 43066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76016556).

43066080 is an abundant number, since it is smaller than the sum of its proper divisors (108967032).

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

43066080 is a wasteful number, since it uses less digits than its factorization.

43066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 43066080 is about 6562.4751428101. The cubic root of 43066080 is about 350.5191750753.

The spelling of 43066080 in words is "forty-three million, sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 3323 4320 6480 6646 9969 12960 13292 16615 19938 26584 29907 33230 39876 49845 53168 59814 66460 79752 89721 99690 106336 119628 132920 149535 159504 179442 199380 239256 265840 269163 299070 319008 358884 398760 448605 478512 531680 538326 598140 717768 797520 897210 957024 1076652 1196280 1345815 1435536 1595040 1794420 2153304 2392560 2691630 2871072 3588840 4306608 4785120 5383260 7177680 8613216 10766520 14355360 21533040 43066080