[go: up one dir, main page]

Search a number
-
+
12071700 = 22335217263
BaseRepresentation
bin101110000011…
…001100010100
3211201022021000
4232003030110
511042243300
61110423300
7204415314
oct56031424
924638230
1012071700
1168a5713
124061b30
132668824
141863444
1510d6c00
hexb83314

12071700 has 144 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3018240.

The previous prime is 12071699. The next prime is 12071713. The reversal of 12071700 is 717021.

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

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, 45769 + ... + 46031.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 212071700 is an apocalyptic number.

12071700 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 12071700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12071700 is an abundant number, since it is smaller than the sum of its proper divisors (29175660).

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

12071700 is a wasteful number, since it uses less digits than its factorization.

12071700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 12071700 is about 3474.4352059004. The cubic root of 12071700 is about 229.3979211974.

Adding to 12071700 its reverse (717021), we get a palindrome (12788721).

The spelling of 12071700 in words is "twelve million, seventy-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 263 270 300 306 340 425 450 459 510 526 540 612 675 765 789 850 900 918 1020 1052 1275 1315 1350 1530 1578 1700 1836 2295 2367 2550 2630 2700 3060 3156 3825 3945 4471 4590 4734 5100 5260 6575 7101 7650 7890 8942 9180 9468 11475 11835 13150 13413 14202 15300 15780 17884 19725 22355 22950 23670 26300 26826 28404 35505 39450 40239 44710 45900 47340 53652 59175 67065 71010 78900 80478 89420 111775 118350 120717 134130 142020 160956 177525 201195 223550 236700 241434 268260 335325 355050 402390 447100 482868 603585 670650 710100 804780 1005975 1207170 1341300 2011950 2414340 3017925 4023900 6035850 12071700