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6040915440 = 2435731193601
BaseRepresentation
bin1011010000001000…
…10000110111110000
3120121000001022002220
411220010100313300
544332433243230
62435233441040
7302461635240
oct55004206760
916530038086
106040915440
11261aa371aa
121207110180
137536c31a1
1441441db20
1525551ad10
hex168110df0

6040915440 has 320 divisors, whose sum is σ = 22243909632. Its totient is φ = 1327104000.

The previous prime is 6040915417. The next prime is 6040915459. The reversal of 6040915440 is 445190406.

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 63 ways as a sum of consecutive naturals, for example, 10051140 + ... + 10051740.

Almost surely, 26040915440 is an apocalyptic number.

6040915440 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 6040915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11121954816).

6040915440 is an abundant number, since it is smaller than the sum of its proper divisors (16202994192).

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

6040915440 is a wasteful number, since it uses less digits than its factorization.

6040915440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6040915440 is about 77723.3262283595. The cubic root of 6040915440 is about 1821.2416998507.

The spelling of 6040915440 in words is "six billion, forty million, nine hundred fifteen thousand, four hundred forty".