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142324 = 227131723
BaseRepresentation
bin100010101111110100
321020020021
4202233310
514023244
63014524
71131640
oct425764
9236207
10142324
1197a26
126a444
134ca20
1439c20
152c284
hex22bf4

142324 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 50688.

The previous prime is 142319. The next prime is 142327. The reversal of 142324 is 423241.

It is a super-2 number, since 2×1423242 = 40512241952, which contains 22 as substring.

Its product of digits (192) is a multiple of the sum of its prime factors (64).

It is a junction number, because it is equal to n+sod(n) for n = 142298 and 142307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6177 + ... + 6199.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2142324 is an apocalyptic number.

142324 is a gapful number since it is divisible by the number (14) 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 142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

142324 is an abundant number, since it is smaller than the sum of its proper divisors (196364).

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

142324 is a wasteful number, since it uses less digits than its factorization.

142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 142324 is about 377.2585320440. The cubic root of 142324 is about 52.2106837006.

Adding to 142324 its reverse (423241), we get a palindrome (565565).

The spelling of 142324 in words is "one hundred forty-two thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 52 68 91 92 119 161 182 221 238 299 322 364 391 442 476 598 644 782 884 1196 1547 1564 2093 2737 3094 4186 5083 5474 6188 8372 10166 10948 20332 35581 71162 142324