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24140142 = 23213711453
BaseRepresentation
bin101110000010…
…1100101101110
31200102110001100
41130011211232
522134441032
62221223530
7412121265
oct134054556
950373040
1024140142
1112698934
128101ba6
135002a10
1432c55dc
1521bc97c
hex170596e

24140142 has 48 divisors (see below), whose sum is σ = 57159648. Its totient is φ = 7318080.

The previous prime is 24140141. The next prime is 24140143. The reversal of 24140142 is 24104142.

It is an interprime number because it is at equal distance from previous prime (24140141) and next prime (24140143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24140141) 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 23 ways as a sum of consecutive naturals, for example, 15888 + ... + 17340.

It is an arithmetic number, because the mean of its divisors is an integer number (1190826).

Almost surely, 224140142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24140142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28579824).

24140142 is an abundant number, since it is smaller than the sum of its proper divisors (33019506).

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

24140142 is a wasteful number, since it uses less digits than its factorization.

24140142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24140142 is about 4913.2618493217. The cubic root of 24140142 is about 289.0102685096.

Adding to 24140142 its reverse (24104142), we get a palindrome (48244284).

The spelling of 24140142 in words is "twenty-four million, one hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1453 1846 2769 2906 4359 5538 8307 8718 13077 16614 18889 26154 37778 56667 103163 113334 170001 206326 309489 340002 618978 928467 1341119 1856934 2682238 4023357 8046714 12070071 24140142