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3130760 = 235234183
BaseRepresentation
bin1011111100010110001000
312220001121002
423330112020
51300141020
6151034132
735416403
oct13742610
95801532
103130760
111849206
12106b948
13858029
145b6d3a
1541c975
hex2fc588

3130760 has 64 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 1154560.

The previous prime is 3130759. The next prime is 3130789. The reversal of 3130760 is 670313.

3130760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37679 + ... + 37761.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 23130760 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 3130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

3130760 is an abundant number, since it is smaller than the sum of its proper divisors (4489720).

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

3130760 is a wasteful number, since it uses less digits than its factorization.

3130760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 3130760 is about 1769.3953769579. The cubic root of 3130760 is about 146.2906576030.

The spelling of 3130760 in words is "three million, one hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 83 92 115 164 166 184 205 230 328 332 410 415 460 664 820 830 920 943 1640 1660 1886 1909 3320 3403 3772 3818 4715 6806 7544 7636 9430 9545 13612 15272 17015 18860 19090 27224 34030 37720 38180 68060 76360 78269 136120 156538 313076 391345 626152 782690 1565380 3130760