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1320668280 = 233352379673
BaseRepresentation
bin100111010110111…
…1100110001111000
310102001001220022000
41032231330301320
510201042341110
6335014301000
744504331561
oct11655746170
93361056260
101320668280
11618534698
1230a357760
131807c3629
14c7581168
157ae241c0
hex4eb7cc78

1320668280 has 256 divisors, whose sum is σ = 4658688000. Its totient is φ = 332107776.

The previous prime is 1320668267. The next prime is 1320668287. The reversal of 1320668280 is 828660231.

It is a Cunningham number, because it is equal to 363412-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320668287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962024 + ... + 1962696.

It is an arithmetic number, because the mean of its divisors is an integer number (18198000).

Almost surely, 21320668280 is an apocalyptic number.

1320668280 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 1320668280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329344000).

1320668280 is an abundant number, since it is smaller than the sum of its proper divisors (3338019720).

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

1320668280 is a wasteful number, since it uses less digits than its factorization.

1320668280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1320668280 is about 36340.9999862414. Note that the first 4 decimals coincide. The cubic root of 1320668280 is about 1097.1463997863.

The spelling of 1320668280 in words is "one billion, three hundred twenty million, six hundred sixty-eight thousand, two hundred eighty".