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1312080 = 243571171
BaseRepresentation
bin101000000010101010000
32110122211120
411000111100
5313441310
644042240
714103210
oct5002520
92418746
101312080
11816870
12533380
1336c2a3
14262240
151adb70
hex140550

1312080 has 160 divisors (see below), whose sum is σ = 5142528. Its totient is φ = 268800.

The previous prime is 1312079. The next prime is 1312093. The reversal of 1312080 is 802131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18445 + ... + 18515.

21312080 is an apocalyptic number.

1312080 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 1312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264).

1312080 is an abundant number, since it is smaller than the sum of its proper divisors (3830448).

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

1312080 is a wasteful number, since it uses less digits than its factorization.

1312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1312080 is about 1145.4606060446. The cubic root of 1312080 is about 109.4762985335.

It can be divided in two parts, 131 and 2080, that added together give a triangular number (2211 = T66).

The spelling of 1312080 in words is "one million, three hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 71 77 80 84 88 105 110 112 120 132 140 142 154 165 168 176 210 213 220 231 240 264 280 284 308 330 336 355 385 420 426 440 462 497 528 560 568 616 660 710 770 781 840 852 880 924 994 1065 1136 1155 1232 1320 1420 1491 1540 1562 1680 1704 1848 1988 2130 2310 2343 2485 2640 2840 2982 3080 3124 3408 3696 3905 3976 4260 4620 4686 4970 5467 5680 5964 6160 6248 7455 7810 7952 8520 9240 9372 9940 10934 11715 11928 12496 14910 15620 16401 17040 18480 18744 19880 21868 23430 23856 27335 29820 31240 32802 37488 39760 43736 46860 54670 59640 62480 65604 82005 87472 93720 109340 119280 131208 164010 187440 218680 262416 328020 437360 656040 1312080