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24157029 = 3132293153
BaseRepresentation
bin101110000100…
…1101101100101
31200110022012210
41130021231211
522141011104
62221434033
7412221441
oct134115545
950408183
1024157029
11126aa596
12810b919
13500a600
1432cb821
1521c2989
hex1709b65

24157029 has 48 divisors (see below), whose sum is σ = 37946880. Its totient is φ = 13628160.

The previous prime is 24156997. The next prime is 24157031. The reversal of 24157029 is 92075142.

It is not a de Polignac number, because 24157029 - 25 = 24156997 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24156987 and 24157005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24157129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455767 + ... + 455819.

It is an arithmetic number, because the mean of its divisors is an integer number (790560).

Almost surely, 224157029 is an apocalyptic number.

24157029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

24157029 is a deficient number, since it is larger than the sum of its proper divisors (13789851).

24157029 is a wasteful number, since it uses less digits than its factorization.

24157029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 24157029 is about 4914.9800609972. The cubic root of 24157029 is about 289.0776442360.

The spelling of 24157029 in words is "twenty-four million, one hundred fifty-seven thousand, twenty-nine".

Divisors: 1 3 13 29 31 39 53 87 93 159 169 377 403 507 689 899 1131 1209 1537 1643 2067 2697 4611 4901 4929 5239 8957 11687 14703 15717 19981 21359 26871 35061 47647 59943 64077 142941 151931 259753 277667 455793 619411 779259 833001 1858233 8052343 24157029