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142130000 = 245461233
BaseRepresentation
bin10000111100010…
…11101101010000
3100220102221201002
420132023231100
5242341130000
622034201132
73344041115
oct1036135520
9326387632
10142130000
1173257411
123b7231a8
13235a49bc
1414c3a90c
15c7278d5
hex878bb50

142130000 has 100 divisors (see below), whose sum is σ = 351253188. Its totient is φ = 55680000.

The previous prime is 142129993. The next prime is 142130011. The reversal of 142130000 is 31241.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 141895744 + 234256 = 11912^2 + 484^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 609884 + ... + 610116.

Almost surely, 2142130000 is an apocalyptic number.

142130000 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 142130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175626594).

142130000 is an abundant number, since it is smaller than the sum of its proper divisors (209123188).

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

142130000 is an equidigital number, since it uses as much as digits as its factorization.

142130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 142130000 is about 11921.8287187830. The cubic root of 142130000 is about 521.8695034501.

Adding to 142130000 its reverse (31241), we get a palindrome (142161241).

The spelling of 142130000 in words is "one hundred forty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 233 244 250 305 400 466 488 500 610 625 932 976 1000 1165 1220 1250 1525 1864 2000 2330 2440 2500 3050 3728 4660 4880 5000 5825 6100 7625 9320 10000 11650 12200 14213 15250 18640 23300 24400 28426 29125 30500 38125 46600 56852 58250 61000 71065 76250 93200 113704 116500 122000 142130 145625 152500 227408 233000 284260 291250 305000 355325 466000 568520 582500 610000 710650 1137040 1165000 1421300 1776625 2330000 2842600 3553250 5685200 7106500 8883125 14213000 17766250 28426000 35532500 71065000 142130000