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1520135514 = 232294616317
BaseRepresentation
bin101101010011011…
…0110110101011010
310220221101212220100
41122212312311122
511103123314024
6410501440230
752445636652
oct13246666532
93827355810
101520135514
11710093347
12365110076
131b2c22291
14105c65362
158d6c57c9
hex5a9b6d5a

1520135514 has 48 divisors (see below), whose sum is σ = 3415131720. Its totient is φ = 488100480.

The previous prime is 1520135503. The next prime is 1520135569. The reversal of 1520135514 is 4155310251.

1520135514 is a `hidden beast` number, since 1 + 520 + 135 + 5 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1228853025 + 291282489 = 35055^2 + 17067^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237484 + ... + 243800.

Almost surely, 21520135514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520135514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707565860).

1520135514 is an abundant number, since it is smaller than the sum of its proper divisors (1894996206).

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

1520135514 is a wasteful number, since it uses less digits than its factorization.

1520135514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1520135514 is about 38988.9152708818. The cubic root of 1520135514 is about 1149.8135838981.

Adding to 1520135514 its reverse (4155310251), we get a palindrome (5675445765).

The spelling of 1520135514 in words is "one billion, five hundred twenty million, one hundred thirty-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 461 522 922 1383 2766 4149 6317 8298 12634 13369 18951 26738 37902 40107 56853 80214 113706 120321 183193 240642 366386 549579 1099158 1648737 2912137 3297474 5824274 8736411 17472822 26209233 52418466 84451973 168903946 253355919 506711838 760067757 1520135514