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1332650880 = 27355111941
BaseRepresentation
bin100111101101110…
…1010001110000000
310102212121200100000
41033123222032000
510212124312010
6340123200000
745011226351
oct11733521600
93385550300
101332650880
11624279370
12312376000
1318312a722
14c8dbdd28
157bede7c0
hex4f6ea380

1332650880 has 768 divisors, whose sum is σ = 5613753600. Its totient is φ = 298598400.

The previous prime is 1332650827. The next prime is 1332650903. The reversal of 1332650880 is 880562331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 32503660 + ... + 32503700.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 21332650880 is an apocalyptic number.

1332650880 is a gapful number since it is divisible by the number (10) 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 1332650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806876800).

1332650880 is an abundant number, since it is smaller than the sum of its proper divisors (4281102720).

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

1332650880 is a wasteful number, since it uses less digits than its factorization.

1332650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1332650880 is about 36505.4910938067. The cubic root of 1332650880 is about 1100.4545999791.

The spelling of 1332650880 in words is "one billion, three hundred thirty-two million, six hundred fifty thousand, eight hundred eighty".