Search a number
-
+
395138660 = 225719714327
BaseRepresentation
bin10111100011010…
…101011001100100
31000112112010100012
4113203111121210
51302123414120
6103113105352
712535423520
oct2743253144
91015463305
10395138660
11193055584
12b03b8258
1363b2b977
143a69ad80
1524a531c5
hex178d5664

395138660 has 48 divisors (see below), whose sum is σ = 953213184. Its totient is φ = 134779008.

The previous prime is 395138647. The next prime is 395138671. The reversal of 395138660 is 66831593.

It is a super-2 number, since 2×3951386602 = 312269121253191200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20417 + ... + 34743.

It is an arithmetic number, because the mean of its divisors is an integer number (19858608).

Almost surely, 2395138660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395138660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476606592).

395138660 is an abundant number, since it is smaller than the sum of its proper divisors (558074524).

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

395138660 is a wasteful number, since it uses less digits than its factorization.

395138660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 395138660 is about 19878.0949791473. The cubic root of 395138660 is about 733.8092370046.

The spelling of 395138660 in words is "three hundred ninety-five million, one hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3940 5516 6895 13790 14327 27580 28654 57308 71635 100289 143270 200578 286540 401156 501445 1002890 2005780 2822419 5644838 11289676 14112095 19756933 28224190 39513866 56448380 79027732 98784665 197569330 395138660