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142765000 = 235474079
BaseRepresentation
bin10001000001001…
…10101111001000
3100221122012202121
420200212233020
5243021440000
622055541024
73352324330
oct1040465710
9327565677
10142765000
1173650504
123b98a774
1323767a41
1414d640c0
15c800b1a
hex8826bc8

142765000 has 80 divisors (see below), whose sum is σ = 382377600. Its totient is φ = 48936000.

The previous prime is 142764983. The next prime is 142765001. The reversal of 142765000 is 567241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (142765001) 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 19 ways as a sum of consecutive naturals, for example, 32961 + ... + 37039.

It is an arithmetic number, because the mean of its divisors is an integer number (4779720).

Almost surely, 2142765000 is an apocalyptic number.

142765000 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 142765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191188800).

142765000 is an abundant number, since it is smaller than the sum of its proper divisors (239612600).

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

142765000 is an equidigital number, since it uses as much as digits as its factorization.

142765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 142765000 is about 11948.4308593221. The cubic root of 142765000 is about 522.6455414405.

The spelling of 142765000 in words is "one hundred forty-two million, seven hundred sixty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3500 4079 4375 5000 7000 8158 8750 16316 17500 20395 28553 32632 35000 40790 57106 81580 101975 114212 142765 163160 203950 228424 285530 407900 509875 571060 713825 815800 1019750 1142120 1427650 2039500 2549375 2855300 3569125 4079000 5098750 5710600 7138250 10197500 14276500 17845625 20395000 28553000 35691250 71382500 142765000