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142392 = 23317349
BaseRepresentation
bin100010110000111000
321020022210
4202300320
514024032
63015120
71132065
oct426070
9236283
10142392
1197a88
126a4a0
134ca73
1439c6c
152c2cc
hex22c38

142392 has 32 divisors (see below), whose sum is σ = 378000. Its totient is φ = 44544.

The previous prime is 142391. The next prime is 142403. The reversal of 142392 is 293241.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142392.

It is not an unprimeable number, because it can be changed into a prime (142391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 582.

2142392 is an apocalyptic number.

142392 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 142392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189000).

142392 is an abundant number, since it is smaller than the sum of its proper divisors (235608).

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

142392 is a wasteful number, since it uses less digits than its factorization.

142392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 142392 is about 377.3486451546. The cubic root of 142392 is about 52.2189975039.

It can be divided in two parts, 14239 and 2, that added together give a palindrome (14241).

The spelling of 142392 in words is "one hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 349 408 698 1047 1396 2094 2792 4188 5933 8376 11866 17799 23732 35598 47464 71196 142392