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142065 = 32571141
BaseRepresentation
bin100010101011110001
321012212200
4202223301
514021230
63013413
71131120
oct425361
9235780
10142065
1197810
126a269
134c881
1439ab7
152c160
hex22af1

142065 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 57600.

The previous prime is 142061. The next prime is 142067. The reversal of 142065 is 560241.

It can be divided in two parts, 1420 and 65, that added together give a triangular number (1485 = T54).

It is a happy number.

142065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142065 - 22 = 142061 is a prime.

It is a Curzon number.

142065 is a lucky number.

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 142065.

It is not an unprimeable number, because it can be changed into a prime (142061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3445 + ... + 3485.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2142065 is an apocalyptic number.

142065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142065 is an abundant number, since it is smaller than the sum of its proper divisors (172431).

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

142065 is a wasteful number, since it uses less digits than its factorization.

142065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142065 is about 376.9151098059. The cubic root of 142065 is about 52.1789936176.

The spelling of 142065 in words is "one hundred forty-two thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 41 45 55 63 77 99 105 123 165 205 231 287 315 369 385 451 495 615 693 861 1155 1353 1435 1845 2255 2583 3157 3465 4059 4305 6765 9471 12915 15785 20295 28413 47355 142065