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1311912 = 2332719137
BaseRepresentation
bin101000000010010101000
32110122121100
411000102220
5313440122
644041400
714102550
oct5002250
92418540
101311912
11816728
12533260
1336c1a4
14262160
151adaac
hex1404a8

1311912 has 96 divisors (see below), whose sum is σ = 4305600. Its totient is φ = 352512.

The previous prime is 1311901. The next prime is 1311917. The reversal of 1311912 is 2191131.

It is a super-2 number, since 2×13119122 = 3442226191488, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1311917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9508 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (44850).

21311912 is an apocalyptic number.

1311912 is a gapful number since it is divisible by the number (12) 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 1311912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152800).

1311912 is an abundant number, since it is smaller than the sum of its proper divisors (2993688).

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

1311912 is a wasteful number, since it uses less digits than its factorization.

1311912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 1311912 is about 1145.3872707517. The cubic root of 1311912 is about 109.4716258502.

It can be divided in two parts, 13119 and 12, that added together give a palindrome (13131).

The spelling of 1311912 in words is "one million, three hundred eleven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 137 152 168 171 228 252 266 274 342 399 411 456 504 532 548 684 798 822 959 1064 1096 1197 1233 1368 1596 1644 1918 2394 2466 2603 2877 3192 3288 3836 4788 4932 5206 5754 7672 7809 8631 9576 9864 10412 11508 15618 17262 18221 20824 23016 23427 31236 34524 36442 46854 54663 62472 69048 72884 93708 109326 145768 163989 187416 218652 327978 437304 655956 1311912