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1365130140 = 22351110120479
BaseRepresentation
bin101000101011110…
…0011101110011100
310112010201210111120
41101113203232130
510243433131030
6343243250540
745554262153
oct12127435634
93463653446
101365130140
11640642530
12321219a50
13189a9001a
14cd43659a
157eca8010
hex515e3b9c

1365130140 has 96 divisors (see below), whose sum is σ = 4211343360. Its totient is φ = 327648000.

The previous prime is 1365130139. The next prime is 1365130153. The reversal of 1365130140 is 410315631.

It is a self number, because there is not a number n which added to its sum of digits gives 1365130140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56421 + ... + 76899.

It is an arithmetic number, because the mean of its divisors is an integer number (43868160).

Almost surely, 21365130140 is an apocalyptic number.

1365130140 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 1365130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105671680).

1365130140 is an abundant number, since it is smaller than the sum of its proper divisors (2846213220).

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

1365130140 is a wasteful number, since it uses less digits than its factorization.

1365130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20603 (or 20601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1365130140 is about 36947.6675853835. The cubic root of 1365130140 is about 1109.3230024852.

Adding to 1365130140 its reverse (410315631), we get a palindrome (1775445771).

The spelling of 1365130140 in words is "one billion, three hundred sixty-five million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 20479 22220 33330 40958 61437 66660 81916 102395 122874 204790 225269 245748 307185 409580 450538 614370 675807 901076 1126345 1228740 1351614 2068379 2252690 2703228 3379035 4136758 4505380 6205137 6758070 8273516 10341895 12410274 13516140 20683790 22752169 24820548 31025685 41367580 45504338 62051370 68256507 91008676 113760845 124102740 136513014 227521690 273026028 341282535 455043380 682565070 1365130140