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1996493760 = 263252812467
BaseRepresentation
bin111011100000000…
…0001001111000000
312011010202101120100
41313000001033000
513042100300020
6530035442400
7100321626342
oct16700011700
95133671510
101996493760
11934a72348
12478756400
1325a81a471
1414d225292
15ba41da90
hex770013c0

1996493760 has 168 divisors, whose sum is σ = 6894338256. Its totient is φ = 530288640.

The previous prime is 1996493749. The next prime is 1996493773. The reversal of 1996493760 is 673946991.

1996493760 is a `hidden beast` number, since 1 + 9 + 96 + 493 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1996493697 and 1996493706.

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 23 ways as a sum of consecutive naturals, for example, 808047 + ... + 810513.

Almost surely, 21996493760 is an apocalyptic number.

1996493760 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 1996493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447169128).

1996493760 is an abundant number, since it is smaller than the sum of its proper divisors (4897844496).

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

1996493760 is a wasteful number, since it uses less digits than its factorization.

1996493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 1996493760 is about 44682.1413989974. The cubic root of 1996493760 is about 1259.1843549585.

The spelling of 1996493760 in words is "one billion, nine hundred ninety-six million, four hundred ninety-three thousand, seven hundred sixty".