Search a number
-
+
24040560 = 2435100169
BaseRepresentation
bin101101110110…
…1010001110000
31200020101110010
41123231101300
522123244220
62215134520
7411225045
oct133552160
950211403
1024040560
1112630035
128074440
134c995ab
14329b1cc
15219d1e0
hex16ed470

24040560 has 40 divisors (see below), whose sum is σ = 74526480. Its totient is φ = 6410752.

The previous prime is 24040537. The next prime is 24040561. The reversal of 24040560 is 6504042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×240405602 = 1155897050227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24040561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49845 + ... + 50324.

It is an arithmetic number, because the mean of its divisors is an integer number (1863162).

Almost surely, 224040560 is an apocalyptic number.

24040560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24040560 is an abundant number, since it is smaller than the sum of its proper divisors (50485920).

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

24040560 is a wasteful number, since it uses less digits than its factorization.

24040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100185 (or 100179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 24040560 is about 4903.1173757111. The cubic root of 24040560 is about 288.6123160609.

It can be divided in two parts, 240 and 40560, that multiplied together give a square (9734400 = 31202).

The spelling of 24040560 in words is "twenty-four million, forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 100169 200338 300507 400676 500845 601014 801352 1001690 1202028 1502535 1602704 2003380 2404056 3005070 4006760 4808112 6010140 8013520 12020280 24040560