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1320942168 = 233671319131
BaseRepresentation
bin100111010111011…
…1111101001011000
310102001120211000000
41032232333221120
510201130122133
6335024213000
744506552230
oct11656775130
93361524000
101320942168
11618701447
1230a46a160
1318088b1b0
14c7612cc0
157ae7a413
hex4ebbfa58

1320942168 has 448 divisors, whose sum is σ = 4847673600. Its totient is φ = 327525120.

The previous prime is 1320942151. The next prime is 1320942197. The reversal of 1320942168 is 8612490231.

It is a super-2 number, since 2×13209421682 = 3489776422401080448, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10083463 + ... + 10083593.

It is an arithmetic number, because the mean of its divisors is an integer number (10820700).

Almost surely, 21320942168 is an apocalyptic number.

1320942168 is a gapful number since it is divisible by the number (18) 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 1320942168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423836800).

1320942168 is an abundant number, since it is smaller than the sum of its proper divisors (3526731432).

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

1320942168 is a wasteful number, since it uses less digits than its factorization.

1320942168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1320942168 is about 36344.7680966601. The cubic root of 1320942168 is about 1097.2222387806. Note that the first 4 decimals are identical.

The spelling of 1320942168 in words is "one billion, three hundred twenty million, nine hundred forty-two thousand, one hundred sixty-eight".