Search a number
-
+
1311000 = 233531923
BaseRepresentation
bin101000000000100011000
32110121100120
411000010120
5313423000
644033240
714100105
oct5000430
92417316
101311000
11815a79
12532820
1336b952
14261aac
151ad6a0
hex140118

1311000 has 128 divisors (see below), whose sum is σ = 4492800. Its totient is φ = 316800.

The previous prime is 1310999. The next prime is 1311001. The reversal of 1311000 is 1131.

It is an interprime number because it is at equal distance from previous prime (1310999) and next prime (1311001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56989 + ... + 57011.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

21311000 is an apocalyptic number.

1311000 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 1311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246400).

1311000 is an abundant number, since it is smaller than the sum of its proper divisors (3181800).

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

1311000 is a wasteful number, since it uses less digits than its factorization.

1311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1311000 is about 1144.9890829174. The cubic root of 1311000 is about 109.4462528916.

Adding to 1311000 its reverse (1131), we get a palindrome (1312131).

The spelling of 1311000 in words is "one million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 25 30 38 40 46 50 57 60 69 75 76 92 95 100 114 115 120 125 138 150 152 184 190 200 228 230 250 276 285 300 345 375 380 437 456 460 475 500 552 570 575 600 690 750 760 874 920 950 1000 1140 1150 1311 1380 1425 1500 1725 1748 1900 2185 2280 2300 2375 2622 2760 2850 2875 3000 3450 3496 3800 4370 4600 4750 5244 5700 5750 6555 6900 7125 8625 8740 9500 10488 10925 11400 11500 13110 13800 14250 17250 17480 19000 21850 23000 26220 28500 32775 34500 43700 52440 54625 57000 65550 69000 87400 109250 131100 163875 218500 262200 327750 437000 655500 1311000