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1920986496 = 27331113323
BaseRepresentation
bin111001001111111…
…1110110110000000
311221212200020002000
41302133332312000
512413233031441
6514341224000
765414054502
oct16237766600
94855606060
101920986496
118a638a650
12457402000
13247ca1000
141431abd72
15b39a62b6
hex727fed80

1920986496 has 512 divisors, whose sum is σ = 6991488000. Its totient is φ = 513976320.

The previous prime is 1920986479. The next prime is 1920986497. The reversal of 1920986496 is 6946890291.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920986497) 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, 83521141 + ... + 83521163.

It is an arithmetic number, because the mean of its divisors is an integer number (13655250).

Almost surely, 21920986496 is an apocalyptic number.

1920986496 is a gapful number since it is divisible by the number (16) 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 1920986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495744000).

1920986496 is an abundant number, since it is smaller than the sum of its proper divisors (5070501504).

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

1920986496 is a wasteful number, since it uses less digits than its factorization.

1920986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1920986496 is about 43829.0599488513. The cubic root of 1920986496 is about 1243.1058320766.

The spelling of 1920986496 in words is "one billion, nine hundred twenty million, nine hundred eighty-six thousand, four hundred ninety-six".