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142273000 = 2353178369
BaseRepresentation
bin10000111101011…
…10100111101000
3100220201012212101
420132232213220
5242410214000
622041223144
73345205042
oct1036564750
9326635771
10142273000
11733448a1
123b791ab4
1323624b0c
1414c76a92
15c754e6a
hex87ae9e8

142273000 has 64 divisors (see below), whose sum is σ = 352544400. Its totient is φ = 53555200.

The previous prime is 142272971. The next prime is 142273003. The reversal of 142273000 is 372241.

142273000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26193924 + 116079076 = 5118^2 + 10774^2 .

It is not an unprimeable number, because it can be changed into a prime (142273003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12816 + ... + 21184.

Almost surely, 2142273000 is an apocalyptic number.

142273000 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 142273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176272200).

142273000 is an abundant number, since it is smaller than the sum of its proper divisors (210271400).

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

142273000 is a wasteful number, since it uses less digits than its factorization.

142273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 142273000 is about 11927.8246130634. The cubic root of 142273000 is about 522.0444661015.

The spelling of 142273000 in words is "one hundred forty-two million, two hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8369 8500 16738 17000 33476 41845 66952 83690 142273 167380 209225 284546 334760 418450 569092 711365 836900 1046125 1138184 1422730 1673800 2092250 2845460 3556825 4184500 5690920 7113650 8369000 14227300 17784125 28454600 35568250 71136500 142273000