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5300860032 = 2732131747443
BaseRepresentation
bin1001110111111010…
…01011010010000000
3111200102111120221100
410323331023102000
541324010010112
62233555454400
7245234365266
oct47375132200
914612446840
105300860032
112280219666
12103b2b7400
1366629ac90
1438401a436
152105852dc
hex13bf4b480

5300860032 has 384 divisors, whose sum is σ = 17803618560. Its totient is φ = 1499037696.

The previous prime is 5300860009. The next prime is 5300860051. The reversal of 5300860032 is 2300680035.

5300860032 is a `hidden beast` number, since 53 + 0 + 0 + 8 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5300859978 and 5300860005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11965603 + ... + 11966045.

It is an arithmetic number, because the mean of its divisors is an integer number (46363590).

Almost surely, 25300860032 is an apocalyptic number.

5300860032 is a gapful number since it is divisible by the number (52) 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 5300860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901809280).

5300860032 is an abundant number, since it is smaller than the sum of its proper divisors (12502758528).

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

5300860032 is a wasteful number, since it uses less digits than its factorization.

5300860032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5300860032 is about 72807.0053772300. The cubic root of 5300860032 is about 1743.6077029141.

The spelling of 5300860032 in words is "five billion, three hundred million, eight hundred sixty thousand, thirty-two".