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1960000000 = 295772
BaseRepresentation
bin111010011010011…
…0011101000000000
312001121002022112121
41310310303220000
513003230000000
6522253334024
766366503500
oct16464635000
95047068477
101960000000
11916407012
12468497314
132530b081a
14148445a00
15b7110b1a
hex74d33a00

1960000000 has 240 divisors, whose sum is σ = 5694419016. Its totient is φ = 672000000.

The previous prime is 1959999991. The next prime is 1960000019. The reversal of 1960000000 is 691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 1182259456 + 777740544 = 34384^2 + 27888^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279999997 + ... + 280000003.

Almost surely, 21960000000 is an apocalyptic number.

1960000000 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 1960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847209508).

1960000000 is an abundant number, since it is smaller than the sum of its proper divisors (3734419016).

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

1960000000 is an frugal number, since it uses more digits than its factorization.

1960000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1960000000 is about 44271.8872423573. The cubic root of 1960000000 is about 1251.4649491352.

Adding to 1960000000 its reverse (691), we get a palindrome (1960000691).

The spelling of 1960000000 in words is "one billion, nine hundred sixty million", and thus it is an aban number.