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3129870 = 235172192
BaseRepresentation
bin1011111100001000001110
312220000101010
423330020032
51300123440
6151030050
735413662
oct13741016
95800333
103129870
111848577
12106b326
138577c3
145b68a2
1541c580
hex2fc20e

3129870 has 72 divisors (see below), whose sum is σ = 8421624. Its totient is φ = 744192.

The previous prime is 3129859. The next prime is 3129911. The reversal of 3129870 is 789213.

It is a happy number.

3129870 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 (30).

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 164721 + ... + 164739.

It is an arithmetic number, because the mean of its divisors is an integer number (116967).

Almost surely, 23129870 is an apocalyptic number.

3129870 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 3129870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210812).

3129870 is an abundant number, since it is smaller than the sum of its proper divisors (5291754).

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

3129870 is a wasteful number, since it uses less digits than its factorization.

3129870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3129870 is about 1769.1438607417. The cubic root of 3129870 is about 146.2767939805.

Multiplying 3129870 by its sum of digits (30), we get a square (93896100 = 96902).

3129870 divided by its sum of digits (30) gives a square (104329 = 3232).

The spelling of 3129870 in words is "three million, one hundred twenty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 289 323 361 510 570 578 646 722 867 969 1083 1445 1615 1734 1805 1938 2166 2890 3230 3610 4335 4845 5415 5491 6137 8670 9690 10830 10982 12274 16473 18411 27455 30685 32946 36822 54910 61370 82365 92055 104329 164730 184110 208658 312987 521645 625974 1043290 1564935 3129870