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1320340140 = 2232577114759
BaseRepresentation
bin100111010110010…
…1100101010101100
310102000110020011200
41032230230222230
510201001341030
6335003245500
744501464110
oct11654545254
93360406150
101320340140
116183300a9
1230a219890
1318070a172
14c74d7740
157adabd60
hex4eb2caac

1320340140 has 144 divisors (see below), whose sum is σ = 4641960960. Its totient is φ = 297521280.

The previous prime is 1320340129. The next prime is 1320340141. The reversal of 1320340140 is 410430231.

1320340140 is a `hidden beast` number, since 1 + 320 + 340 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1320340141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82081 + ... + 96839.

It is an arithmetic number, because the mean of its divisors is an integer number (32235840).

Almost surely, 21320340140 is an apocalyptic number.

1320340140 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 1320340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320980480).

1320340140 is an abundant number, since it is smaller than the sum of its proper divisors (3321620820).

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

1320340140 is a wasteful number, since it uses less digits than its factorization.

1320340140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14852 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320340140 is about 36336.4849703435. The cubic root of 1320340140 is about 1097.0555247229.

Adding to 1320340140 its reverse (410430231), we get a palindrome (1730770371).

Subtracting from 1320340140 its reverse (410430231), we obtain a palindrome (909909909).

The spelling of 1320340140 in words is "one billion, three hundred twenty million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6390 7455 8946 9940 12780 14759 14910 17892 22365 29518 29820 44277 44730 59036 73795 88554 89460 103313 132831 147590 177108 206626 221385 265662 295180 309939 413252 442770 516565 531324 619878 664155 885540 929817 1033130 1047889 1239756 1328310 1549695 1859634 2066260 2095778 2656620 3099390 3143667 3719268 4191556 4649085 5239445 6198780 6287334 7335223 9298170 9431001 10478890 12574668 14670446 15718335 18596340 18862002 20957780 22005669 29340892 31436670 36676115 37724004 44011338 47155005 62873340 66017007 73352230 88022676 94310010 110028345 132034014 146704460 188620020 220056690 264068028 330085035 440113380 660170070 1320340140