Search a number
-
+
24243140 = 225371812
BaseRepresentation
bin101110001111…
…0101111000100
31200121200100002
41130132233010
522201240030
62223340432
7413030465
oct134365704
950550302
1024243140
1112759259
128151718
13503a86c
143310d6c
1521dd245
hex171ebc4

24243140 has 36 divisors (see below), whose sum is σ = 52577028. Its totient is φ = 9383040.

The previous prime is 24243137. The next prime is 24243151. The reversal of 24243140 is 4134242.

It can be written as a sum of positive squares in 6 ways, for example, as 6061444 + 18181696 = 2462^2 + 4264^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133850 + ... + 134030.

It is an arithmetic number, because the mean of its divisors is an integer number (1460473).

Almost surely, 224243140 is an apocalyptic number.

24243140 is a gapful number since it is divisible by the number (20) 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 24243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26288514).

24243140 is an abundant number, since it is smaller than the sum of its proper divisors (28333888).

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

24243140 is a wasteful number, since it uses less digits than its factorization.

24243140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 24243140 is about 4923.7323241622. The cubic root of 24243140 is about 289.4207223740.

Adding to 24243140 its reverse (4134242), we get a palindrome (28377382).

The spelling of 24243140 in words is "twenty-four million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 181 185 362 370 724 740 905 1810 3620 6697 13394 26788 32761 33485 65522 66970 131044 133940 163805 327610 655220 1212157 2424314 4848628 6060785 12121570 24243140