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142080 = 283537
BaseRepresentation
bin100010101100000000
321012220020
4202230000
514021310
63013440
71131141
oct425400
9235806
10142080
1197824
126a280
134c893
1439ac8
152c170
hex22b00

142080 has 72 divisors (see below), whose sum is σ = 466032. Its totient is φ = 36864.

The previous prime is 142067. The next prime is 142097. The reversal of 142080 is 80241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

142080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3822 + ... + 3858.

2142080 is an apocalyptic number.

142080 is a gapful number since it is divisible by the number (10) 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 142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233016).

142080 is an abundant number, since it is smaller than the sum of its proper divisors (323952).

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

142080 is an equidigital number, since it uses as much as digits as its factorization.

142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 142080 is about 376.9350076605. The cubic root of 142080 is about 52.1808300008.

The spelling of 142080 in words is "one hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2960 3552 3840 4440 4736 5920 7104 8880 9472 11840 14208 17760 23680 28416 35520 47360 71040 142080