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24142153 = 724161197
BaseRepresentation
bin101110000011…
…0000101001001
31200102112210211
41130012011021
522140022103
62221241121
7412130200
oct134060511
950375724
1024142153
111269a3a2
1281031a1
1350038c9
1432c6237
1521bd36d
hex1706149

24142153 has 24 divisors (see below), whose sum is σ = 29388744. Its totient is φ = 19756800.

The previous prime is 24142117. The next prime is 24142169. The reversal of 24142153 is 35124142.

It can be written as a sum of positive squares in 4 ways, for example, as 405769 + 23736384 = 637^2 + 4872^2 .

It is not a de Polignac number, because 24142153 - 213 = 24133961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122451 + ... + 122647.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 224142153 is an apocalyptic number.

It is an amenable number.

24142153 is a deficient number, since it is larger than the sum of its proper divisors (5246591).

24142153 is a wasteful number, since it uses less digits than its factorization.

24142153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 24142153 is about 4913.4664952557. The cubic root of 24142153 is about 289.0182936421.

Adding to 24142153 its reverse (35124142), we get a palindrome (59266295).

The spelling of 24142153 in words is "twenty-four million, one hundred forty-two thousand, one hundred fifty-three".

Divisors: 1 7 41 49 61 197 287 427 1379 2009 2501 2989 8077 9653 12017 17507 56539 84119 122549 395773 492697 588833 3448879 24142153