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24122142 = 23211294201
BaseRepresentation
bin101110000000…
…1001100011110
31200101112100200
41130001030132
522133402032
62221004330
7412014642
oct134011436
950345320
1024122142
1112686360
1280b36a6
134cc7775
1432bcc22
1521b747c
hex170131e

24122142 has 48 divisors (see below), whose sum is σ = 58996080. Its totient is φ = 7056000.

The previous prime is 24122083. The next prime is 24122149.

24122142 is nontrivially palindromic in base 10.

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 (24122149) 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 23 ways as a sum of consecutive naturals, for example, 3642 + ... + 7842.

It is an arithmetic number, because the mean of its divisors is an integer number (1229085).

Almost surely, 224122142 is an apocalyptic number.

24122142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24122142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29498040).

24122142 is an abundant number, since it is smaller than the sum of its proper divisors (34873938).

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

24122142 is a wasteful number, since it uses less digits than its factorization.

24122142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4246 counting only the distinct ones).

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

The square root of 24122142 is about 4911.4297307403. The cubic root of 24122142 is about 288.9384175326.

It can be divided in two parts, 2412 and 2142, that added together give a palindrome (4554).

The spelling of 24122142 in words is "twenty-four million, one hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 4201 5742 8402 12603 25206 37809 46211 75618 92422 121829 138633 243658 277266 365487 415899 730974 831798 1096461 1340119 2192922 2680238 4020357 8040714 12061071 24122142