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1345260540 = 22351313712589
BaseRepresentation
bin101000000101111…
…0000101111111100
310110202100022112110
41100023300233330
510223341314130
6341253334020
745223345251
oct12013605774
93422308473
101345260540
11630401178
12316637310
13185924070
14ca943428
157d180ab0
hex502f0bfc

1345260540 has 96 divisors (see below), whose sum is σ = 4086411840. Its totient is φ = 328697856.

The previous prime is 1345260523. The next prime is 1345260551. The reversal of 1345260540 is 450625431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1345260498 and 1345260507.

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, 100566 + ... + 113154.

It is an arithmetic number, because the mean of its divisors is an integer number (42566790).

Almost surely, 21345260540 is an apocalyptic number.

1345260540 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 1345260540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043205920).

1345260540 is an abundant number, since it is smaller than the sum of its proper divisors (2741151300).

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

1345260540 is a wasteful number, since it uses less digits than its factorization.

1345260540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1345260540 is about 36677.7935541384. The cubic root of 1345260540 is about 1103.9145760673.

Adding to 1345260540 its reverse (450625431), we get a palindrome (1795885971).

The spelling of 1345260540 in words is "one billion, three hundred forty-five million, two hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 390 411 548 685 780 822 1370 1644 1781 2055 2740 3562 4110 5343 7124 8220 8905 10686 12589 17810 21372 25178 26715 35620 37767 50356 53430 62945 75534 106860 125890 151068 163657 188835 251780 327314 377670 490971 654628 755340 818285 981942 1636570 1724693 1963884 2454855 3273140 3449386 4909710 5174079 6898772 8623465 9819420 10348158 17246930 20696316 22421009 25870395 34493860 44842018 51740790 67263027 89684036 103481580 112105045 134526054 224210090 269052108 336315135 448420180 672630270 1345260540