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142382160 = 24325197753
BaseRepresentation
bin10000111110010…
…01010001010000
3100220220202121100
420133021101100
5242422212120
622043424400
73346141224
oct1037112120
9326822540
10142382160
1173409908
123b825100
13236626cb
1414ca4784
15c777490
hex87c9450

142382160 has 60 divisors (see below), whose sum is σ = 478169172. Its totient is φ = 37968384.

The previous prime is 142382087. The next prime is 142382161. The reversal of 142382160 is 61283241.

142382160 is a `hidden beast` number, since 1 + 423 + 82 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 87385104 = 7416^2 + 9348^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142382161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98157 + ... + 99596.

Almost surely, 2142382160 is an apocalyptic number.

142382160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142382160 is an abundant number, since it is smaller than the sum of its proper divisors (335787012).

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

142382160 is a wasteful number, since it uses less digits than its factorization.

142382160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197772 (or 197763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142382160 is about 11932.3995910295. The cubic root of 142382160 is about 522.1779461146.

The spelling of 142382160 in words is "one hundred forty-two million, three hundred eighty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 197753 395506 593259 791012 988765 1186518 1582024 1779777 1977530 2373036 2966295 3164048 3559554 3955060 4746072 5932590 7119108 7910120 8898885 9492144 11865180 14238216 15820240 17797770 23730360 28476432 35595540 47460720 71191080 142382160