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142002 = 2327323
BaseRepresentation
bin100010101010110010
321012210100
4202222302
514021002
63013230
71131000
oct425262
9235710
10142002
1197763
126a216
134c833
1439a70
152c11c
hex22ab2

142002 has 48 divisors (see below), whose sum is σ = 374400. Its totient is φ = 38808.

The previous prime is 141991. The next prime is 142007. The reversal of 142002 is 200241.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (142007) by changing a digit.

142002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6163 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2142002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

142002 is an abundant number, since it is smaller than the sum of its proper divisors (232398).

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

142002 is a wasteful number, since it uses less digits than its factorization.

142002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 142002 is about 376.8315273435. The cubic root of 142002 is about 52.1712793960.

Adding to 142002 its reverse (200241), we get a palindrome (342243).

It can be divided in two parts, 14 and 2002, that added together give a triangular number (2016 = T63).

The spelling of 142002 in words is "one hundred forty-two thousand, two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 343 414 441 483 686 882 966 1029 1127 1449 2058 2254 2898 3087 3381 6174 6762 7889 10143 15778 20286 23667 47334 71001 142002