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142241232 = 24373491213
BaseRepresentation
bin10000111101001…
…10110111010000
3100220122121021210
420132212313100
5242403204412
622040420120
73345013320
oct1036466720
9326577253
10142241232
1173322a41
123b777640
1323613513
1414c69280
15c74a83c
hex87a6dd0

142241232 has 80 divisors (see below), whose sum is σ = 421500800. Its totient is φ = 40490496.

The previous prime is 142241213. The next prime is 142241243. The reversal of 142241232 is 232142241.

142241232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142241199 and 142241208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116658 + ... + 117870.

It is an arithmetic number, because the mean of its divisors is an integer number (5268760).

Almost surely, 2142241232 is an apocalyptic number.

142241232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210750400).

142241232 is an abundant number, since it is smaller than the sum of its proper divisors (279259568).

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

142241232 is a wasteful number, since it uses less digits than its factorization.

142241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 142241232 is about 11926.4928625309. The cubic root of 142241232 is about 522.0056076085.

Adding to 142241232 its reverse (232142241), we get a palindrome (374383473).

The spelling of 142241232 in words is "one hundred forty-two million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 349 698 1047 1213 1396 2094 2426 2443 2792 3639 4188 4852 4886 5584 7278 7329 8376 8491 9704 9772 14556 14658 16752 16982 19408 19544 25473 29112 29316 33964 39088 50946 58224 58632 67928 101892 117264 135856 203784 407568 423337 846674 1270011 1693348 2540022 2963359 3386696 5080044 5926718 6773392 8890077 10160088 11853436 17780154 20320176 23706872 35560308 47413744 71120616 142241232