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1340521520 = 24513329263
BaseRepresentation
bin100111111100110…
…1011110000110000
310110102102112211012
41033321223300300
510221133142040
6341004010052
745135150002
oct11771536060
93412375735
101340521520
11628764728
12314b30928
13184955000
14ca06c372
157ca46865
hex4fe6bc30

1340521520 has 160 divisors (see below), whose sum is σ = 3506025600. Its totient is φ = 476077056.

The previous prime is 1340521493. The next prime is 1340521541. The reversal of 1340521520 is 251250431.

It is a super-2 number, since 2×13405215202 = 3593995891166220800, which contains 22 as substring.

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, 5096909 + ... + 5097171.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 21340521520 is an apocalyptic number.

1340521520 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 1340521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753012800).

1340521520 is an abundant number, since it is smaller than the sum of its proper divisors (2165504080).

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

1340521520 is a wasteful number, since it uses less digits than its factorization.

1340521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1340521520 is about 36613.1331628420. The cubic root of 1340521520 is about 1102.6167783022.

Adding to 1340521520 its reverse (251250431), we get a palindrome (1591771951).

The spelling of 1340521520 in words is "one billion, three hundred forty million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 169 208 232 260 263 290 338 377 464 520 526 580 676 754 845 1040 1052 1160 1315 1352 1508 1690 1885 2104 2197 2320 2630 2704 3016 3380 3419 3770 4208 4394 4901 5260 6032 6760 6838 7540 7627 8788 9802 10520 10985 13520 13676 15080 15254 17095 17576 19604 21040 21970 24505 27352 30160 30508 34190 35152 38135 39208 43940 44447 49010 54704 61016 63713 68380 76270 78416 87880 88894 98020 99151 122032 127426 136760 152540 175760 177788 196040 198302 222235 254852 273520 305080 318565 355576 392080 396604 444470 495755 509704 577811 610160 637130 711152 793208 888940 991510 1019408 1155622 1274260 1288963 1586416 1777880 1983020 2311244 2548520 2577926 2889055 3555760 3966040 4622488 5097040 5155852 5778110 6444815 7932080 9244976 10311704 11556220 12889630 16756519 20623408 23112440 25779260 33513038 46224880 51558520 67026076 83782595 103117040 134052152 167565190 268104304 335130380 670260760 1340521520