Search a number
-
+
3936660 = 22357213103
BaseRepresentation
bin1111000001000110010100
321102000002020
433001012110
52001433120
6220213140
745314100
oct17010624
97360066
103936660
112249742
12139a1b0
13a7aab0
14746900
1552b640
hex3c1194

3936660 has 144 divisors (see below), whose sum is σ = 13942656. Its totient is φ = 822528.

The previous prime is 3936643. The next prime is 3936683. The reversal of 3936660 is 666393.

3936660 = T27 + T28 + ... + T286.

It is a congruent 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, 38169 + ... + 38271.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

Almost surely, 23936660 is an apocalyptic number.

3936660 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 3936660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971328).

3936660 is an abundant number, since it is smaller than the sum of its proper divisors (10005996).

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

3936660 is a wasteful number, since it uses less digits than its factorization.

3936660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 3936660 is about 1984.1018119038. The cubic root of 3936660 is about 157.8977600591.

The spelling of 3936660 in words is "three million, nine hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 103 105 130 140 147 156 182 195 196 206 210 245 260 273 294 309 364 390 412 420 455 490 515 546 588 618 637 721 735 780 910 980 1030 1092 1236 1274 1339 1365 1442 1470 1545 1820 1911 2060 2163 2548 2678 2730 2884 2940 3090 3185 3605 3822 4017 4326 5047 5356 5460 6180 6370 6695 7210 7644 8034 8652 9373 9555 10094 10815 12740 13390 14420 15141 16068 18746 19110 20085 20188 21630 25235 26780 28119 30282 37492 38220 40170 43260 46865 50470 56238 60564 65611 75705 80340 93730 100940 112476 131222 140595 151410 187460 196833 262444 281190 302820 328055 393666 562380 656110 787332 984165 1312220 1968330 3936660