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1321816320 = 28345111961
BaseRepresentation
bin100111011001001…
…0101000100000000
310102010020020010000
41032302111010000
510201341110240
6335055040000
744520152616
oct11662250400
93363206100
101321816320
11619149190
1230a810000
13180b06046
14c779d6b6
157b09e430
hex4ec95100

1321816320 has 720 divisors, whose sum is σ = 5520271680. Its totient is φ = 298598400.

The previous prime is 1321816303. The next prime is 1321816333. The reversal of 1321816320 is 236181231.

It is a happy number.

1321816320 is a `hidden beast` number, since 1 + 3 + 21 + 8 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21669090 + ... + 21669150.

It is an arithmetic number, because the mean of its divisors is an integer number (7667044).

Almost surely, 21321816320 is an apocalyptic number.

1321816320 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 1321816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760135840).

1321816320 is an abundant number, since it is smaller than the sum of its proper divisors (4198455360).

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

1321816320 is a wasteful number, since it uses less digits than its factorization.

1321816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1321816320 is about 36356.7919376834. The cubic root of 1321816320 is about 1097.4642194772.

Adding to 1321816320 its reverse (236181231), we get a palindrome (1557997551).

The spelling of 1321816320 in words is "one billion, three hundred twenty-one million, eight hundred sixteen thousand, three hundred twenty".