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1321334140 = 225771307433
BaseRepresentation
bin100111011000001…
…1111010101111100
310102002022201200111
41032300133111330
510201230143030
6335040435404
744513104060
oct11660372574
93362281614
101321334140
11618949995
1230a618b64
13180997729
14c76b5aa0
157b00662a
hex4ec1f57c

1321334140 has 96 divisors (see below), whose sum is σ = 3233793024. Its totient is φ = 444165120.

The previous prime is 1321334093. The next prime is 1321334159. The reversal of 1321334140 is 414331231.

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, 3051364 + ... + 3051796.

It is an arithmetic number, because the mean of its divisors is an integer number (33685344).

Almost surely, 21321334140 is an apocalyptic number.

1321334140 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 1321334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616896512).

1321334140 is an abundant number, since it is smaller than the sum of its proper divisors (1912458884).

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

1321334140 is a wasteful number, since it uses less digits than its factorization.

1321334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1321334140 is about 36350.1601096887. The cubic root of 1321334140 is about 1097.3307567442.

Adding to 1321334140 its reverse (414331231), we get a palindrome (1735665371).

The spelling of 1321334140 in words is "one billion, three hundred twenty-one million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 307 355 433 497 614 710 866 994 1228 1420 1535 1732 1988 2149 2165 2485 3031 3070 4298 4330 4970 6062 6140 8596 8660 9940 10745 12124 15155 21490 21797 30310 30743 42980 43594 60620 61486 87188 108985 122972 132931 152579 153715 215201 217970 265862 305158 307430 430402 435940 531724 610316 614860 664655 762895 860804 930517 1076005 1329310 1525790 1861034 2152010 2658620 3051580 3722068 4304020 4652585 9305170 9438101 18610340 18876202 37752404 47190505 66066707 94381010 132133414 188762020 264266828 330333535 660667070 1321334140