Search a number
-
+
24004080 = 2433511113
BaseRepresentation
bin101101110010…
…0010111110000
31200011112102000
41123210113300
522121112310
62214254000
7411013512
oct133442760
950145360
1024004080
1112605691
128057300
134c85ac9
14328bbb2
1521924c0
hex16e45f0

24004080 has 80 divisors (see below), whose sum is σ = 82688160. Its totient is φ = 6400512.

The previous prime is 24004073. The next prime is 24004093. The reversal of 24004080 is 8040042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397 + ... + 7716.

It is an arithmetic number, because the mean of its divisors is an integer number (1033602).

Almost surely, 224004080 is an apocalyptic number.

24004080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24004080 is an abundant number, since it is smaller than the sum of its proper divisors (58684080).

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

24004080 is a wasteful number, since it uses less digits than its factorization.

24004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24004080 is about 4899.3958811266. The cubic root of 24004080 is about 288.4662586305.

The spelling of 24004080 in words is "twenty-four million, four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 11113 22226 33339 44452 55565 66678 88904 100017 111130 133356 166695 177808 200034 222260 266712 300051 333390 400068 444520 500085 533424 600102 666780 800136 889040 1000170 1200204 1333560 1500255 1600272 2000340 2400408 2667120 3000510 4000680 4800816 6001020 8001360 12002040 24004080