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24166142 = 27111312071
BaseRepresentation
bin101110000101…
…1111011111110
31200110202201022
41130023323332
522141304032
62221544142
7412260140
oct134137376
950422638
1024166142
1112706420
128115052
1350117c0
1432d0c90
1521c5512
hex170befe

24166142 has 32 divisors (see below), whose sum is σ = 48674304. Its totient is φ = 8690400.

The previous prime is 24166117. The next prime is 24166147.

24166142 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24166147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4034 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (1521072).

Almost surely, 224166142 is an apocalyptic number.

24166142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24166142 is an abundant number, since it is smaller than the sum of its proper divisors (24508162).

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

24166142 is a wasteful number, since it uses less digits than its factorization.

24166142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104.

The product of its digits is 2304, while the sum is 26.

The square root of 24166142 is about 4915.9070373635. The cubic root of 24166142 is about 289.1139902257.

It can be divided in two parts, 2416 and 6142, that added together give a palindrome (8558).

The spelling of 24166142 in words is "twenty-four million, one hundred sixty-six thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 12071 24142 84497 132781 156923 168994 265562 313846 929467 1098461 1726153 1858934 2196922 3452306 12083071 24166142