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1520068680 = 2334513151239
BaseRepresentation
bin101101010011010…
…0110100001001000
310220221021111020000
41122212212201020
511103114144210
6410500203000
752445241054
oct13246464110
93827244200
101520068680
11710048109
12365099460
131b2bcaa30
14105c48c64
158d6b0ac0
hex5a9a6848

1520068680 has 320 divisors, whose sum is σ = 5561740800. Its totient is φ = 370137600.

The previous prime is 1520068661. The next prime is 1520068691. The reversal of 1520068680 is 868600251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6360001 + ... + 6360239.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 21520068680 is an apocalyptic number.

1520068680 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 1520068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780870400).

1520068680 is an abundant number, since it is smaller than the sum of its proper divisors (4041672120).

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

1520068680 is a wasteful number, since it uses less digits than its factorization.

1520068680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1520068680 is about 38988.0581717018. The cubic root of 1520068680 is about 1149.7967328199.

The spelling of 1520068680 in words is "one billion, five hundred twenty million, sixty-eight thousand, six hundred eighty".