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1327316480 = 2957174357
BaseRepresentation
bin100111100011101…
…0011111000000000
310102111120122220122
41033013103320000
510204243111410
6335412555412
744615001230
oct11707237000
93374518818
101327316480
11621265576
12310622b68
13181cb0689
14c83d1cc0
157b7d8e55
hex4f1d3e00

1327316480 has 160 divisors (see below), whose sum is σ = 3851914176. Its totient is φ = 428212224.

The previous prime is 1327316479. The next prime is 1327316483. The reversal of 1327316480 is 846137231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1327316480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327316483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302462 + ... + 306818.

Almost surely, 21327316480 is an apocalyptic number.

1327316480 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 1327316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925957088).

1327316480 is an abundant number, since it is smaller than the sum of its proper divisors (2524597696).

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

1327316480 is an equidigital number, since it uses as much as digits as its factorization.

1327316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1327316480 is about 36432.3548511485. The cubic root of 1327316480 is about 1098.9843186610.

The spelling of 1327316480 in words is "one billion, three hundred twenty-seven million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 512 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2560 2720 3584 3808 4352 4357 4480 4760 5440 7616 8704 8714 8960 9520 10880 15232 17428 17920 19040 21760 21785 30464 30499 34856 38080 43520 43570 60928 60998 69712 74069 76160 87140 121996 139424 148138 152320 152495 174280 243992 278848 296276 304640 304990 348560 370345 487984 518483 557696 592552 609980 697120 740690 975968 1036966 1115392 1185104 1219960 1394240 1481380 1951936 2073932 2230784 2370208 2439920 2592415 2788480 2962760 3903872 4147864 4740416 4879840 5184830 5576960 5925520 7807744 8295728 9480832 9759680 10369660 11153920 11851040 15615488 16591456 18961664 19519360 20739320 23702080 33182912 37923328 39038720 41478640 47404160 66365824 78077440 82957280 94808320 132731648 165914560 189616640 265463296 331829120 663658240 1327316480