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5980525200 = 24325213177517
BaseRepresentation
bin1011001000111011…
…11001001010010000
3120102210102011021100
411210131321022100
544222003301300
62425235224400
7301126424346
oct54435711220
916383364240
105980525200
11259993a111
1211aaa48100
1374403a710
1440a3bd996
1525008c700
hex164779290

5980525200 has 360 divisors, whose sum is σ = 23668438248. Its totient is φ = 1385349120.

The previous prime is 5980525193. The next prime is 5980525207. The reversal of 5980525200 is 25250895.

5980525200 is a `hidden beast` number, since 5 + 9 + 80 + 52 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5980525193) and next prime (5980525207).

It can be written as a sum of positive squares in 12 ways, for example, as 580039056 + 5400486144 = 24084^2 + 73488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5980525207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 791842 + ... + 799358.

Almost surely, 25980525200 is an apocalyptic number.

5980525200 is a gapful number since it is divisible by the number (50) 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 5980525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834219124).

5980525200 is an abundant number, since it is smaller than the sum of its proper divisors (17687913048).

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

5980525200 is a wasteful number, since it uses less digits than its factorization.

5980525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5980525200 is about 77333.8554580075. The cubic root of 5980525200 is about 1815.1524585636.

The spelling of 5980525200 in words is "five billion, nine hundred eighty million, five hundred twenty-five thousand, two hundred".