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5380482240 = 263357271179
BaseRepresentation
bin1010000001011001…
…11010010011000000
3111212222022211002000
411000230322103000
542004400412430
62245522224000
7250222226100
oct50054722300
914788284060
105380482240
112311161a41
121061ab5000
13679928403
14390825200
15217561e60
hex140b3a4c0

5380482240 has 672 divisors, whose sum is σ = 22516185600. Its totient is φ = 1205729280.

The previous prime is 5380482223. The next prime is 5380482251. The reversal of 5380482240 is 422840835.

5380482240 is a `hidden beast` number, since 538 + 0 + 4 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 5380482195 and 5380482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30058471 + ... + 30058649.

Almost surely, 25380482240 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 5380482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258092800).

5380482240 is an abundant number, since it is smaller than the sum of its proper divisors (17135703360).

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

5380482240 is a wasteful number, since it uses less digits than its factorization.

5380482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5380482240 is about 73351.7705307786. The cubic root of 5380482240 is about 1752.2943772566.

The spelling of 5380482240 in words is "five billion, three hundred eighty million, four hundred eighty-two thousand, two hundred forty".