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3130192 = 2413101149
BaseRepresentation
bin1011111100001101010000
312220000211001
423330031100
51300131232
6151031344
735414632
oct13741520
95800731
103130192
11184883a
12106b554
138579b0
145b6a52
1541c6e7
hex2fc350

3130192 has 40 divisors (see below), whose sum is σ = 6640200. Its totient is φ = 1420800.

The previous prime is 3130187. The next prime is 3130199. The reversal of 3130192 is 2910313.

3130192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 226576 + 2903616 = 476^2 + 1704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20934 + ... + 21082.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 23130192 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 3130192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320100).

3130192 is an abundant number, since it is smaller than the sum of its proper divisors (3510008).

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

3130192 is a wasteful number, since it uses less digits than its factorization.

3130192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 3130192 is about 1769.2348628715. The cubic root of 3130192 is about 146.2818101113.

The spelling of 3130192 in words is "three million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 101 104 149 202 208 298 404 596 808 1192 1313 1616 1937 2384 2626 3874 5252 7748 10504 15049 15496 21008 30098 30992 60196 120392 195637 240784 391274 782548 1565096 3130192