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142605000 = 2332543169
BaseRepresentation
bin10000111111111…
…11101011001000
3100221100002021200
420133333223020
5243001330000
622052304200
73351060006
oct1037775310
9327302250
10142605000
117355127a
123b912060
132370cc75
1414d21a76
15c7bd500
hex87ffac8

142605000 has 120 divisors (see below), whose sum is σ = 482775150. Its totient is φ = 38016000.

The previous prime is 142604963. The next prime is 142605017. The reversal of 142605000 is 506241.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 11410884 + 131194116 = 3378^2 + 11454^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43416 + ... + 46584.

Almost surely, 2142605000 is an apocalyptic number.

142605000 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 142605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241387575).

142605000 is an abundant number, since it is smaller than the sum of its proper divisors (340170150).

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

142605000 is a wasteful number, since it uses less digits than its factorization.

142605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142605000 is about 11941.7335424971. The cubic root of 142605000 is about 522.4502215194.

The spelling of 142605000 in words is "one hundred forty-two million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3169 3750 4500 5000 5625 6338 7500 9000 9507 11250 12676 15000 15845 19014 22500 25352 28521 31690 38028 45000 47535 57042 63380 76056 79225 95070 114084 126760 142605 158450 190140 228168 237675 285210 316900 380280 396125 475350 570420 633800 713025 792250 950700 1140840 1188375 1426050 1584500 1901400 1980625 2376750 2852100 3169000 3565125 3961250 4753500 5704200 5941875 7130250 7922500 9507000 11883750 14260500 15845000 17825625 23767500 28521000 35651250 47535000 71302500 142605000