Search a number
-
+
24144156 = 2234431733
BaseRepresentation
bin101110000011…
…0100100011100
31200102122120000
41130012210130
522140103111
62221254300
7412136061
oct134064434
950378500
1024144156
11126a0953
128104390
1350047aa
1432c6c68
1521bdc56
hex170691c

24144156 has 60 divisors (see below), whose sum is σ = 64622712. Its totient is φ = 7856352.

The previous prime is 24144149. The next prime is 24144163. The reversal of 24144156 is 65144142.

24144156 is a `hidden beast` number, since 241 + 4 + 415 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (24144149) and next prime (24144163).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 13066 + ... + 14798.

Almost surely, 224144156 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 24144156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32311356).

24144156 is an abundant number, since it is smaller than the sum of its proper divisors (40478556).

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

24144156 is a wasteful number, since it uses less digits than its factorization.

24144156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1781 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 24144156 is about 4913.6703186111. The cubic root of 24144156 is about 289.0262864066.

Adding to 24144156 its reverse (65144142), we get a palindrome (89288298).

The spelling of 24144156 in words is "twenty-four million, one hundred forty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 1733 2322 3466 3483 4644 5199 6932 6966 10398 13932 15597 20796 31194 46791 62388 74519 93582 140373 149038 187164 223557 280746 298076 447114 561492 670671 894228 1341342 2012013 2682684 4024026 6036039 8048052 12072078 24144156