Search a number
-
+
3142260 = 2233511232
BaseRepresentation
bin1011111111001001110100
312220122101000
423333021310
51301023020
6151203300
735465052
oct13771164
95818330
103142260
111856910
121076530
13860334
145bb1d2
15421090
hex2ff274

3142260 has 144 divisors (see below), whose sum is σ = 11148480. Its totient is φ = 728640.

The previous prime is 3142259. The next prime is 3142267. The reversal of 3142260 is 622413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136609 + ... + 136631.

It is an arithmetic number, because the mean of its divisors is an integer number (77420).

Almost surely, 23142260 is an apocalyptic number.

3142260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574240).

3142260 is an abundant number, since it is smaller than the sum of its proper divisors (8006220).

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

3142260 is a wasteful number, since it uses less digits than its factorization.

3142260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3142260 is about 1772.6420958558. The cubic root of 3142260 is about 146.4695584534.

Adding to 3142260 its reverse (622413), we get a palindrome (3764673).

The spelling of 3142260 in words is "three million, one hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 27 30 33 36 44 45 46 54 55 60 66 69 90 92 99 108 110 115 132 135 138 165 180 198 207 220 230 253 270 276 297 330 345 396 414 460 495 506 529 540 594 621 660 690 759 828 990 1012 1035 1058 1188 1242 1265 1380 1485 1518 1587 1980 2070 2116 2277 2484 2530 2645 2970 3036 3105 3174 3795 4140 4554 4761 5060 5290 5819 5940 6210 6348 6831 7590 7935 9108 9522 10580 11385 11638 12420 13662 14283 15180 15870 17457 19044 22770 23276 23805 27324 28566 29095 31740 34155 34914 45540 47610 52371 57132 58190 68310 69828 71415 87285 95220 104742 116380 136620 142830 157113 174570 209484 261855 285660 314226 349140 523710 628452 785565 1047420 1571130 3142260