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1312501520 = 245112135589
BaseRepresentation
bin100111000111011…
…0010111100010000
310101110200222121102
41032032302330100
510142000022040
6334123243532
744345036021
oct11616627420
93343628542
101312501520
11613966900
123076795a8
1317bbc4325
14c6456c48
157a35e515
hex4e3b2f10

1312501520 has 60 divisors (see below), whose sum is σ = 3354225420. Its totient is φ = 477269760.

The previous prime is 1312501451. The next prime is 1312501543. The reversal of 1312501520 is 251052131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 959512576 + 352988944 = 30976^2 + 18788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1312501492 and 1312501501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58115 + ... + 77474.

It is an arithmetic number, because the mean of its divisors is an integer number (55903757).

Almost surely, 21312501520 is an apocalyptic number.

1312501520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312501520 is an abundant number, since it is smaller than the sum of its proper divisors (2041723900).

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

1312501520 is a wasteful number, since it uses less digits than its factorization.

1312501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135624 (or 135607 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1312501520 is about 36228.4628434605. The cubic root of 1312501520 is about 1094.8802076302.

Adding to 1312501520 its reverse (251052131), we get a palindrome (1563553651).

The spelling of 1312501520 in words is "one billion, three hundred twelve million, five hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 135589 271178 542356 677945 1084712 1355890 1491479 2169424 2711780 2982958 5423560 5965916 7457395 10847120 11931832 14914790 16406269 23863664 29829580 32812538 59659160 65625076 82031345 119318320 131250152 164062690 262500304 328125380 656250760 1312501520