Search a number
-
+
3861690 = 235723771
BaseRepresentation
bin1110101110110010111010
321021012020120
432232302322
51442033230
6214434110
744552400
oct16566272
97235216
103861690
1121a8388
121362936
13a52931
14727470
15514310
hex3aecba

3861690 has 96 divisors (see below), whose sum is σ = 11228544. Its totient is φ = 846720.

The previous prime is 3861659. The next prime is 3861709. The reversal of 3861690 is 961683.

It is a super-2 number, since 2×38616902 = 29825299312200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54355 + ... + 54425.

It is an arithmetic number, because the mean of its divisors is an integer number (116964).

Almost surely, 23861690 is an apocalyptic number.

3861690 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 3861690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614272).

3861690 is an abundant number, since it is smaller than the sum of its proper divisors (7366854).

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

3861690 is a wasteful number, since it uses less digits than its factorization.

3861690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3861690 is about 1965.1183170486. The cubic root of 3861690 is about 156.8889907259. Note that the first 3 decimals are identical.

The spelling of 3861690 in words is "three million, eight hundred sixty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 71 74 98 105 111 142 147 185 210 213 222 245 259 294 355 370 426 490 497 518 555 710 735 777 994 1065 1110 1295 1470 1491 1554 1813 2130 2485 2590 2627 2982 3479 3626 3885 4970 5254 5439 6958 7455 7770 7881 9065 10437 10878 13135 14910 15762 17395 18130 18389 20874 26270 27195 34790 36778 39405 52185 54390 55167 78810 91945 104370 110334 128723 183890 257446 275835 386169 551670 643615 772338 1287230 1930845 3861690