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1312330040 = 23572925573
BaseRepresentation
bin100111000111000…
…1001000100111000
310101110101021101022
41032032021010320
510141424030130
6334115442012
744343423050
oct11616110470
93343337338
101312330040
11613859a8a
123075b6308
1317bb64268
14c6410560
157a3287e5
hex4e389138

1312330040 has 96 divisors (see below), whose sum is σ = 3495566880. Its totient is φ = 434348544.

The previous prime is 1312330039. The next prime is 1312330049. The reversal of 1312330040 is 400332131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312330049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232694 + ... + 238266.

It is an arithmetic number, because the mean of its divisors is an integer number (36412155).

Almost surely, 21312330040 is an apocalyptic number.

1312330040 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 1312330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747783440).

1312330040 is an abundant number, since it is smaller than the sum of its proper divisors (2183236840).

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

1312330040 is a wasteful number, since it uses less digits than its factorization.

1312330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1312330040 is about 36226.0961186822. The cubic root of 1312330040 is about 1094.8325230542.

Adding to 1312330040 its reverse (400332131), we get a palindrome (1712662171).

The spelling of 1312330040 in words is "one billion, three hundred twelve million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 841 1015 1160 1624 1682 2030 3364 4060 4205 5573 5887 6728 8120 8410 11146 11774 16820 22292 23548 27865 29435 33640 39011 44584 47096 55730 58870 78022 111460 117740 156044 161617 195055 222920 235480 312088 323234 390110 646468 780220 808085 1131319 1292936 1560440 1616170 2262638 3232340 4525276 4686893 5656595 6464680 9050552 9373786 11313190 18747572 22626380 23434465 32808251 37495144 45252760 46868930 65616502 93737860 131233004 164041255 187475720 262466008 328082510 656165020 1312330040