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3142900 = 225253593
BaseRepresentation
bin1011111111010011110100
312220200020201
423333103310
51301033100
6151210244
735466655
oct13772364
95820221
103142900
111857342
121076984
13860707
145bb52c
1542136a
hex2ff4f4

3142900 has 36 divisors (see below), whose sum is σ = 6960492. Its totient is φ = 1231360.

The previous prime is 3142879. The next prime is 3142901. The reversal of 3142900 is 92413.

It can be written as a sum of positive squares in 6 ways, for example, as 2916 + 3139984 = 54^2 + 1772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5004 + ... + 5596.

It is an arithmetic number, because the mean of its divisors is an integer number (193347).

Almost surely, 23142900 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 3142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480246).

3142900 is an abundant number, since it is smaller than the sum of its proper divisors (3817592).

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

3142900 is a wasteful number, since it uses less digits than its factorization.

3142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3142900 is about 1772.8226081591. The cubic root of 3142900 is about 146.4795018438.

The spelling of 3142900 in words is "three million, one hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 593 1060 1186 1325 2372 2650 2965 5300 5930 11860 14825 29650 31429 59300 62858 125716 157145 314290 628580 785725 1571450 3142900