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5399832240 = 24325116111177
BaseRepresentation
bin1010000011101101…
…01110011010110000
3111221022201220021200
411001312232122300
542024324112430
62251453051200
7250545550065
oct50166563260
914838656250
105399832240
112321078980
121068486b00
13680941a0a
14393220c6c
152190d5460
hex141dae6b0

5399832240 has 240 divisors, whose sum is σ = 20109132576. Its totient is φ = 1287475200.

The previous prime is 5399832227. The next prime is 5399832241. The reversal of 5399832240 is 422389935.

It is a happy number.

5399832240 is a `hidden beast` number, since 539 + 98 + 3 + 2 + 24 + 0 = 666.

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

It is a super-3 number, since 3×53998322403 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5399832241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477532 + ... + 488708.

Almost surely, 25399832240 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 5399832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054566288).

5399832240 is an abundant number, since it is smaller than the sum of its proper divisors (14709300336).

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

5399832240 is a wasteful number, since it uses less digits than its factorization.

5399832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5399832240 is about 73483.5508124097. The cubic root of 5399832240 is about 1754.3924748427.

The spelling of 5399832240 in words is "five billion, three hundred ninety-nine million, eight hundred thirty-two thousand, two hundred forty".