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24140116 = 22711136029
BaseRepresentation
bin101110000010…
…1100101010100
31200102110000101
41130011211110
522134440431
62221223444
7412121230
oct134054524
950373011
1024140116
1112698910
128101b84
1350029c0
1432c55c0
1521bc961
hex1705954

24140116 has 48 divisors (see below), whose sum is σ = 56730240. Its totient is φ = 8680320.

The previous prime is 24140101. The next prime is 24140117. The reversal of 24140116 is 61104142.

It is a junction number, because it is equal to n+sod(n) for n = 24140093 and 24140102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24140117) 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, 990 + ... + 7018.

It is an arithmetic number, because the mean of its divisors is an integer number (1181880).

Almost surely, 224140116 is an apocalyptic number.

24140116 is a gapful number since it is divisible by the number (26) 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 24140116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365120).

24140116 is an abundant number, since it is smaller than the sum of its proper divisors (32590124).

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

24140116 is a wasteful number, since it uses less digits than its factorization.

24140116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 24140116 is about 4913.2592034209. The cubic root of 24140116 is about 289.0101647507.

Adding to 24140116 its reverse (61104142), we get a palindrome (85244258).

The spelling of 24140116 in words is "twenty-four million, one hundred forty thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 6029 12058 24116 42203 66319 78377 84406 132638 156754 168812 265276 313508 464233 548639 862147 928466 1097278 1724294 1856932 2194556 3448588 6035029 12070058 24140116