Search a number
-
+
3142100 = 2252132417
BaseRepresentation
bin1011111111000111010100
312220122011002
423333013110
51301021400
6151202432
735464433
oct13770724
95818132
103142100
111856785
121076418
13860240
145bb11a
15420ed5
hex2ff1d4

3142100 has 36 divisors (see below), whose sum is σ = 7345884. Its totient is φ = 1159680.

The previous prime is 3142079. The next prime is 3142123. The reversal of 3142100 is 12413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2116 + 3139984 = 46^2 + 1772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92 + ... + 2508.

Almost surely, 23142100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672942).

3142100 is an abundant number, since it is smaller than the sum of its proper divisors (4203784).

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

3142100 is a wasteful number, since it uses less digits than its factorization.

3142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2437 counting only the distinct ones).

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

The square root of 3142100 is about 1772.5969649077. The cubic root of 3142100 is about 146.4670723948.

Adding to 3142100 its reverse (12413), we get a palindrome (3154513).

The spelling of 3142100 in words is "three million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2417 4834 9668 12085 24170 31421 48340 60425 62842 120850 125684 157105 241700 314210 628420 785525 1571050 3142100