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3142820 = 225157141
BaseRepresentation
bin1011111111010010100100
312220200010202
423333102210
51301032240
6151210032
735466512
oct13772244
95820122
103142820
11185727a
121076918
13860675
145bb4b2
15421315
hex2ff4a4

3142820 has 12 divisors (see below), whose sum is σ = 6599964. Its totient is φ = 1257120.

The previous prime is 3142819. The next prime is 3142829. The reversal of 3142820 is 282413.

It can be written as a sum of positive squares in 2 ways, for example, as 2010724 + 1132096 = 1418^2 + 1064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 157141 = 3142820 / (3 + 1 + 4 + 2 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 3142792 and 3142801.

It is not an unprimeable number, because it can be changed into a prime (3142829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 78551 + ... + 78590.

It is an arithmetic number, because the mean of its divisors is an integer number (549997).

Almost surely, 23142820 is an apocalyptic number.

It is an amenable number.

3142820 is an abundant number, since it is smaller than the sum of its proper divisors (3457144).

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

3142820 is a wasteful number, since it uses less digits than its factorization.

3142820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157150 (or 157148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3142820 is about 1772.8000451264. The cubic root of 3142820 is about 146.4782589938.

The spelling of 3142820 in words is "three million, one hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 157141 314282 628564 785705 1571410 3142820