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6015054240 = 25325131741461
BaseRepresentation
bin1011001101000011…
…00111000110100000
3120112012101102012200
411212201213012200
544304323213430
62432511253200
7302026055166
oct54641470640
916465342180
106015054240
112607383308
1211ba51a200
1374b239cc0
14410c0b236
1525310d460
hex1668671a0

6015054240 has 576 divisors, whose sum is σ = 24028516512. Its totient is φ = 1356595200.

The previous prime is 6015054229. The next prime is 6015054317. The reversal of 6015054240 is 424505106.

6015054240 is a `hidden beast` number, since 601 + 5 + 0 + 54 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 59536656 + 5955517584 = 7716^2 + 77172^2 .

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, 13047610 + ... + 13048070.

Almost surely, 26015054240 is an apocalyptic number.

6015054240 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 6015054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014258256).

6015054240 is an abundant number, since it is smaller than the sum of its proper divisors (18013462272).

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

6015054240 is a wasteful number, since it uses less digits than its factorization.

6015054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 6015054240 is about 77556.7807480429. The cubic root of 6015054240 is about 1818.6390663198.

Adding to 6015054240 its reverse (424505106), we get a palindrome (6439559346).

The spelling of 6015054240 in words is "six billion, fifteen million, fifty-four thousand, two hundred forty".