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3130890 = 235717877
BaseRepresentation
bin1011111100011000001010
312220001202220
423330120022
51300142030
6151034510
735416650
oct13743012
95801686
103130890
111849314
12106ba36
138580c9
145b6dd0
1541ca10
hex2fc60a

3130890 has 64 divisors (see below), whose sum is σ = 9103104. Its totient is φ = 672768.

The previous prime is 3130871. The next prime is 3130901. The reversal of 3130890 is 980313.

3130890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3130890.

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 31 ways as a sum of consecutive naturals, for example, 3132 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (142236).

Almost surely, 23130890 is an apocalyptic number.

3130890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551552).

3130890 is an abundant number, since it is smaller than the sum of its proper divisors (5972214).

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

3130890 is a wasteful number, since it uses less digits than its factorization.

3130890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3130890 is about 1769.4321122891. The cubic root of 3130890 is about 146.2926824066.

The spelling of 3130890 in words is "three million, one hundred thirty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 877 1190 1754 1785 2631 3570 4385 5262 6139 8770 12278 13155 14909 18417 26310 29818 30695 36834 44727 61390 74545 89454 92085 104363 149090 184170 208726 223635 313089 447270 521815 626178 1043630 1565445 3130890