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142580000 = 25547129
BaseRepresentation
bin10000111111110…
…01100100100000
3100221021210222202
420133321210200
5243000030000
622051552332
73350624063
oct1037714440
9327253882
10142580000
1173534512
123b8bb6a8
1323701784
1414d168da
15c7b5dd5
hex87f9920

142580000 has 60 divisors (see below), whose sum is σ = 350817390. Its totient is φ = 57024000.

The previous prime is 142579963. The next prime is 142580027. The reversal of 142580000 is 85241.

It can be written as a sum of positive squares in 5 ways, for example, as 4376464 + 138203536 = 2092^2 + 11756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 16436 + ... + 23564.

Almost surely, 2142580000 is an apocalyptic number.

142580000 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 142580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175408695).

142580000 is an abundant number, since it is smaller than the sum of its proper divisors (208237390).

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

142580000 is an frugal number, since it uses more digits than its factorization.

142580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 142580000 is about 11940.6867474195. The cubic root of 142580000 is about 522.4196895865.

The spelling of 142580000 in words is "one hundred forty-two million, five hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 7129 10000 14258 20000 28516 35645 57032 71290 114064 142580 178225 228128 285160 356450 570320 712900 891125 1140640 1425800 1782250 2851600 3564500 4455625 5703200 7129000 8911250 14258000 17822500 28516000 35645000 71290000 142580000