Search a number
-
+
1375895340 = 2232517597621
BaseRepresentation
bin101001000000010…
…0111111100101100
310112212222201120200
41102000213330230
510304212122330
6344310113500
746044626451
oct12200477454
93485881520
101375895340
11646725596
1232494b890
1318c08bc71
14d0a39828
1580bd2a60
hex52027f2c

1375895340 has 144 divisors (see below), whose sum is σ = 4494540960. Its totient is φ = 339425280.

The previous prime is 1375895329. The next prime is 1375895347. The reversal of 1375895340 is 435985731.

1375895340 is a `hidden beast` number, since 1 + 37 + 5 + 89 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1375895347) 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, 176730 + ... + 184350.

It is an arithmetic number, because the mean of its divisors is an integer number (31212090).

Almost surely, 21375895340 is an apocalyptic number.

1375895340 is a gapful number since it is divisible by the number (10) 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 1375895340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247270480).

1375895340 is an abundant number, since it is smaller than the sum of its proper divisors (3118645620).

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

1375895340 is a wasteful number, since it uses less digits than its factorization.

1375895340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1375895340 is about 37093.0632329011. The cubic root of 1375895340 is about 1112.2313527140.

The spelling of 1375895340 in words is "one billion, three hundred seventy-five million, eight hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 59 60 68 85 90 102 118 153 170 177 180 204 236 255 295 306 340 354 510 531 590 612 708 765 885 1003 1020 1062 1180 1530 1770 2006 2124 2655 3009 3060 3540 4012 5015 5310 6018 7621 9027 10030 10620 12036 15045 15242 18054 20060 22863 30090 30484 36108 38105 45135 45726 60180 68589 76210 90270 91452 114315 129557 137178 152420 180540 228630 259114 274356 342945 388671 449639 457260 518228 647785 685890 777342 899278 1166013 1295570 1348917 1371780 1554684 1798556 1943355 2248195 2332026 2591140 2697834 3886710 4046751 4496390 4664052 5395668 5830065 6744585 7643863 7773420 8093502 8992780 11660130 13489170 15287726 16187004 20233755 22931589 23320260 26978340 30575452 38219315 40467510 45863178 68794767 76438630 80935020 91726356 114657945 137589534 152877260 229315890 275179068 343973835 458631780 687947670 1375895340