Search a number
-
+
24006090 = 2353183311
BaseRepresentation
bin101101110010…
…0110111001010
31200011122011110
41123210313022
522121143330
62214311150
7411022413
oct133446712
950148143
1024006090
1112607149
1280584b6
134c869b4
14328c80a
152192db0
hex16e4dca

24006090 has 64 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 6100800.

The previous prime is 24006077. The next prime is 24006109. The reversal of 24006090 is 9060042.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77035 + ... + 77345.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 224006090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24006090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

24006090 is an abundant number, since it is smaller than the sum of its proper divisors (36377142).

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

24006090 is a wasteful number, since it uses less digits than its factorization.

24006090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 24006090 is about 4899.6010041635. The cubic root of 24006090 is about 288.4743100533.

The spelling of 24006090 in words is "twenty-four million, six thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 83 93 155 166 186 249 310 311 415 465 498 622 830 930 933 1245 1555 1866 2490 2573 3110 4665 5146 7719 9330 9641 12865 15438 19282 25730 25813 28923 38595 48205 51626 57846 77190 77439 96410 129065 144615 154878 258130 289230 387195 774390 800203 1600406 2400609 4001015 4801218 8002030 12003045 24006090