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5400239040 = 2632572172251
BaseRepresentation
bin1010000011110000…
…10001101111000000
3111221100111120022100
411001320101233000
542024430122130
62251505510400
7250552163100
oct50170215700
914840446270
105400239040
112321326579
121068642400
13680a54c21
143932c9200
15219165c60
hex141e11bc0

5400239040 has 504 divisors, whose sum is σ = 22888328112. Its totient is φ = 1161216000.

The previous prime is 5400239017. The next prime is 5400239077. The reversal of 5400239040 is 409320045.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 5400238995 and 5400239013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2397915 + ... + 2400165.

Almost surely, 25400239040 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 5400239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11444164056).

5400239040 is an abundant number, since it is smaller than the sum of its proper divisors (17488089072).

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

5400239040 is a wasteful number, since it uses less digits than its factorization.

5400239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2285 counting only the distinct ones).

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

The square root of 5400239040 is about 73486.3187266854. The cubic root of 5400239040 is about 1754.4365298495.

Adding to 5400239040 its reverse (409320045), we get a palindrome (5809559085).

The spelling of 5400239040 in words is "five billion, four hundred million, two hundred thirty-nine thousand, forty".