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24160068 = 223247109131
BaseRepresentation
bin101110000101…
…0011101000100
31200110110101100
41130022131010
522141110233
62221500100
7412233342
oct134123504
950413340
1024160068
11127018a9
128111630
13500baca
1432cc992
1521c3813
hex170a744

24160068 has 72 divisors (see below), whose sum is σ = 63423360. Its totient is φ = 7750080.

The previous prime is 24160063. The next prime is 24160069. The reversal of 24160068 is 86006142.

It is not an unprimeable number, because it can be changed into a prime (24160063) 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 23 ways as a sum of consecutive naturals, for example, 184363 + ... + 184493.

It is an arithmetic number, because the mean of its divisors is an integer number (880880).

Almost surely, 224160068 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 24160068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711680).

24160068 is an abundant number, since it is smaller than the sum of its proper divisors (39263292).

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

24160068 is a wasteful number, since it uses less digits than its factorization.

24160068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 24160068 is about 4915.2892081748. The cubic root of 24160068 is about 289.0897658994.

The spelling of 24160068 in words is "twenty-four million, one hundred sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 109 131 141 188 218 262 282 327 393 423 436 524 564 654 786 846 981 1179 1308 1572 1692 1962 2358 3924 4716 5123 6157 10246 12314 14279 15369 18471 20492 24628 28558 30738 36942 42837 46107 55413 57116 61476 73884 85674 92214 110826 128511 171348 184428 221652 257022 514044 671113 1342226 2013339 2684452 4026678 6040017 8053356 12080034 24160068