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24140004 = 2237893229
BaseRepresentation
bin101110000010…
…1100011100100
31200102102212020
41130011203210
522134440004
62221223140
7412121010
oct134054344
950372766
1024140004
1112698819
128101ab0
135002935
1432c5540
1521bc8d9
hex17058e4

24140004 has 48 divisors (see below), whose sum is σ = 65116800. Its totient is φ = 6817536.

The previous prime is 24139967. The next prime is 24140009. The reversal of 24140004 is 40004142.

It is not an unprimeable number, because it can be changed into a prime (24140009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5862 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 224140004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558400).

24140004 is an abundant number, since it is smaller than the sum of its proper divisors (40976796).

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

24140004 is a wasteful number, since it uses less digits than its factorization.

24140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 24140004 is about 4913.2478056780. The cubic root of 24140004 is about 289.0097177880.

Adding to 24140004 its reverse (40004142), we get a palindrome (64144146).

The spelling of 24140004 in words is "twenty-four million, one hundred forty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3229 3738 6458 7476 9687 12916 19374 22603 38748 45206 67809 90412 135618 271236 287381 574762 862143 1149524 1724286 2011667 3448572 4023334 6035001 8046668 12070002 24140004