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5230553040 = 24325531131213
BaseRepresentation
bin1001101111100001…
…11110011111010000
3111111112012121212200
410313300332133100
541203010144130
62223004523200
7243421652526
oct46760763720
914445177780
105230553040
112244568a09
12101b850500
136548527cb
14378958316
152092e8760
hex137c3e7d0

5230553040 has 240 divisors, whose sum is σ = 18070642512. Its totient is φ = 1355268096.

The previous prime is 5230553033. The next prime is 5230553077. The reversal of 5230553040 is 403550325.

5230553040 is a `hidden beast` number, since 52 + 305 + 5 + 304 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1540719504 + 3689833536 = 39252^2 + 60744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 5230552995 and 5230553013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4311474 + ... + 4312686.

Almost surely, 25230553040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5230553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035321256).

5230553040 is an abundant number, since it is smaller than the sum of its proper divisors (12840089472).

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

5230553040 is a wasteful number, since it uses less digits than its factorization.

5230553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5230553040 is about 72322.5624546033. The cubic root of 5230553040 is about 1735.8646942333.

The spelling of 5230553040 in words is "five billion, two hundred thirty million, five hundred fifty-three thousand, forty".