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142120 = 235111719
BaseRepresentation
bin100010101100101000
321012221201
4202230220
514021440
63013544
71131226
oct425450
9235851
10142120
1197860
126a2b4
134c8c4
1439b16
152c19a
hex22b28

142120 has 64 divisors (see below), whose sum is σ = 388800. Its totient is φ = 46080.

The previous prime is 142111. The next prime is 142123. The reversal of 142120 is 21241.

142120 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 142097 and 142106.

It is not an unprimeable number, because it can be changed into a prime (142123) by changing a digit.

142120 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7471 + ... + 7489.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2142120 is an apocalyptic number.

142120 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 142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

142120 is an abundant number, since it is smaller than the sum of its proper divisors (246680).

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

142120 is a wasteful number, since it uses less digits than its factorization.

142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 142120 is about 376.9880634715. The cubic root of 142120 is about 52.1857263910.

Adding to 142120 its reverse (21241), we get a palindrome (163361).

It can be divided in two parts, 1421 and 20, that added together give a palindrome (1441).

The spelling of 142120 in words is "one hundred forty-two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2584 3230 3553 3740 4180 6460 7106 7480 8360 12920 14212 17765 28424 35530 71060 142120