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24142023 = 3317149353
BaseRepresentation
bin101110000011…
…0000011000111
31200102112122000
41130012003013
522140021043
62221240343
7412126623
oct134060307
950375560
1024142023
111269a294
1281030b3
135003829
1432c6183
1521bd2d3
hex17060c7

24142023 has 32 divisors (see below), whose sum is σ = 38232000. Its totient is φ = 15003648.

The previous prime is 24142009. The next prime is 24142037. The reversal of 24142023 is 32024142.

24142023 is a `hidden beast` number, since 241 + 420 + 2 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (24142009) and next prime (24142037).

It is not a de Polignac number, because 24142023 - 25 = 24141991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24141987 and 24142005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142523) 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 31 ways as a sum of consecutive naturals, for example, 68215 + ... + 68567.

It is an arithmetic number, because the mean of its divisors is an integer number (1194750).

Almost surely, 224142023 is an apocalyptic number.

24142023 is a deficient number, since it is larger than the sum of its proper divisors (14089977).

24142023 is a wasteful number, since it uses less digits than its factorization.

24142023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 24142023 is about 4913.4532662884. The cubic root of 24142023 is about 289.0177748753.

Adding to 24142023 its reverse (32024142), we get a palindrome (56166165).

The spelling of 24142023 in words is "twenty-four million, one hundred forty-two thousand, twenty-three".

Divisors: 1 3 9 17 27 51 149 153 353 447 459 1059 1341 2533 3177 4023 6001 7599 9531 18003 22797 52597 54009 68391 157791 162027 473373 894149 1420119 2682447 8047341 24142023