Search a number
-
+
24114006 = 2327971973
BaseRepresentation
bin101101111111…
…1001101010110
31200101010012100
41123333031112
522133122011
62220502530
7411652140
oct133771526
950333170
1024114006
1112680234
1280aaa46
134cc3b57
1432b9c90
1521b4d56
hex16ff356

24114006 has 48 divisors (see below), whose sum is σ = 60357024. Its totient is φ = 6815232.

The previous prime is 24113989. The next prime is 24114023. The reversal of 24114006 is 60041142.

It is an interprime number because it is at equal distance from previous prime (24113989) and next prime (24114023).

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

It is a self number, because there is not a number n which added to its sum of digits gives 24114006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11236 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (1257438).

Almost surely, 224114006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24114006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178512).

24114006 is an abundant number, since it is smaller than the sum of its proper divisors (36243018).

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

24114006 is a wasteful number, since it uses less digits than its factorization.

24114006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 24114006 is about 4910.6013888321. The cubic root of 24114006 is about 288.9059291614.

Adding to 24114006 its reverse (60041142), we get a palindrome (84155148).

The spelling of 24114006 in words is "twenty-four million, one hundred fourteen thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 1973 2037 3946 4074 5919 6111 11838 12222 13811 17757 27622 35514 41433 82866 124299 191381 248598 382762 574143 1148286 1339667 1722429 2679334 3444858 4019001 8038002 12057003 24114006