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4124142 = 2331153131
BaseRepresentation
bin1111101110110111101110
321202112021000
433232313232
52023433032
6224221130
750024511
oct17566756
97675230
104124142
112367590
12146a7a6
13b15229
14794d78
15566e7c
hex3eedee

4124142 has 64 divisors (see below), whose sum is σ = 10264320. Its totient is φ = 1216800.

The previous prime is 4124137. The next prime is 4124167. The reversal of 4124142 is 2414214.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31417 + ... + 31547.

It is an arithmetic number, because the mean of its divisors is an integer number (160380).

Almost surely, 24124142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132160).

4124142 is an abundant number, since it is smaller than the sum of its proper divisors (6140178).

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

4124142 is a wasteful number, since it uses less digits than its factorization.

4124142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

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

The square root of 4124142 is about 2030.7983651756. The cubic root of 4124142 is about 160.3655962764.

Adding to 4124142 its reverse (2414214), we get a palindrome (6538356).

It can be divided in two parts, 412 and 4142, that added together give a palindrome (4554).

The spelling of 4124142 in words is "four million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 131 159 198 262 297 318 393 477 583 594 786 954 1166 1179 1431 1441 1749 2358 2862 2882 3498 3537 4323 5247 6943 7074 8646 10494 12969 13886 15741 20829 25938 31482 38907 41658 62487 76373 77814 124974 152746 187461 229119 374922 458238 687357 1374714 2062071 4124142