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6090986880 = 2732511251383
BaseRepresentation
bin1011010110000110…
…10001010110000000
3120201111021012012200
411223003101112000
544433243040010
62444222553200
7303640351146
oct55303212600
916644235180
106090986880
112646226660
12121ba38800
13760ba4c64
1441ad35596
15259b0bcc0
hex16b0d1580

6090986880 has 384 divisors, whose sum is σ = 23096586240. Its totient is φ = 1466880000.

The previous prime is 6090986827. The next prime is 6090986887. The reversal of 6090986880 is 886890906.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6090986887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15903169 + ... + 15903551.

It is an arithmetic number, because the mean of its divisors is an integer number (60147360).

Almost surely, 26090986880 is an apocalyptic number.

6090986880 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 6090986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

6090986880 is an abundant number, since it is smaller than the sum of its proper divisors (17005599360).

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

6090986880 is a wasteful number, since it uses less digits than its factorization.

6090986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 6090986880 is about 78044.7748411128. The cubic root of 6090986880 is about 1826.2597799638.

The spelling of 6090986880 in words is "six billion, ninety million, nine hundred eighty-six thousand, eight hundred eighty".