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1320331320 = 2333571115877
BaseRepresentation
bin100111010110010…
…1010100000111000
310102000102210002000
41032230222200320
510201001100240
6335003141000
744501426310
oct11654524070
93360383060
101320331320
11618324510
1230a214760
13180706149
14c74d4440
157ada9430
hex4eb2a838

1320331320 has 256 divisors, whose sum is σ = 5487436800. Its totient is φ = 274337280.

The previous prime is 1320331319. The next prime is 1320331339. The reversal of 1320331320 is 231330231.

1320331320 is a `hidden beast` number, since 13 + 2 + 0 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320331293 and 1320331302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75222 + ... + 91098.

It is an arithmetic number, because the mean of its divisors is an integer number (21435300).

Almost surely, 21320331320 is an apocalyptic number.

1320331320 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 1320331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743718400).

1320331320 is an abundant number, since it is smaller than the sum of its proper divisors (4167105480).

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

1320331320 is a wasteful number, since it uses less digits than its factorization.

1320331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15915 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320331320 is about 36336.3636045216. The cubic root of 1320331320 is about 1097.0530819051.

Adding to 1320331320 its reverse (231330231), we get a palindrome (1551661551).

The spelling of 1320331320 in words is "one billion, three hundred twenty million, three hundred thirty-one thousand, three hundred twenty".