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6040535040 = 2143352731
BaseRepresentation
bin1011010000000101…
…10100000000000000
3120120222022222022000
411220002310000000
544332334110130
62435221344000
7302455462221
oct55002640000
916528288260
106040535040
11261a7a7421
121206b68000
137535bbcb7
14414361248
15255493260
hex1680b4000

6040535040 has 240 divisors, whose sum is σ = 21484666560. Its totient is φ = 1610219520.

The previous prime is 6040534933. The next prime is 6040535041. The reversal of 6040535040 is 405350406.

6040535040 is a `hidden beast` number, since 604 + 0 + 5 + 3 + 50 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6040534995 and 6040535013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6040535041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210475 + ... + 2213205.

It is an arithmetic number, because the mean of its divisors is an integer number (89519444).

Almost surely, 26040535040 is an apocalyptic number.

6040535040 is a gapful number since it is divisible by the number (60) 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 6040535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742333280).

6040535040 is an abundant number, since it is smaller than the sum of its proper divisors (15444131520).

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

6040535040 is an equidigital number, since it uses as much as digits as its factorization.

6040535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6040535040 is about 77720.8790480396. The cubic root of 6040535040 is about 1821.2034708277.

Adding to 6040535040 its reverse (405350406), we get a palindrome (6445885446).

The spelling of 6040535040 in words is "six billion, forty million, five hundred thirty-five thousand, forty".