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1317112440 = 233577692039
BaseRepresentation
bin100111010000001…
…1000101001111000
310101210101020121020
41032200120221320
510144140044230
6334410142440
744432161650
oct11640305170
93353336536
101317112440
11616526086
12309121a20
1317cb49c97
14c6cd7360
157a970810
hex4e818a78

1317112440 has 128 divisors (see below), whose sum is σ = 4523904000. Its totient is φ = 300515328.

The previous prime is 1317112439. The next prime is 1317112499. The reversal of 1317112440 is 442117131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1317112440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 644941 + ... + 646979.

It is an arithmetic number, because the mean of its divisors is an integer number (35343000).

Almost surely, 21317112440 is an apocalyptic number.

1317112440 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 1317112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952000).

1317112440 is an abundant number, since it is smaller than the sum of its proper divisors (3206791560).

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

1317112440 is a wasteful number, since it uses less digits than its factorization.

1317112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1317112440 is about 36292.0437561733. The cubic root of 1317112440 is about 1096.1608422727.

Adding to 1317112440 its reverse (442117131), we get a palindrome (1759229571).

The spelling of 1317112440 in words is "one billion, three hundred seventeen million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 769 840 1538 2039 2307 3076 3845 4078 4614 5383 6117 6152 7690 8156 9228 10195 10766 11535 12234 14273 15380 16149 16312 18456 20390 21532 23070 24468 26915 28546 30585 30760 32298 40780 42819 43064 46140 48936 53830 57092 61170 64596 71365 80745 81560 85638 92280 107660 114184 122340 129192 142730 161490 171276 214095 215320 244680 285460 322980 342552 428190 570920 645960 856380 1567991 1712760 3135982 4703973 6271964 7839955 9407946 10975937 12543928 15679910 18815892 21951874 23519865 31359820 32927811 37631784 43903748 47039730 54879685 62719640 65855622 87807496 94079460 109759370 131711244 164639055 188158920 219518740 263422488 329278110 439037480 658556220 1317112440