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1992107680 = 25512450673
BaseRepresentation
bin111011010111101…
…0010011010100000
312010211111112222221
41312233102122200
513034434421210
6525401440424
7100236431053
oct16657223240
95124445887
101992107680
11932546a92
124771a0114
13259942c54
1414c802a9a
15b9d541da
hex76bd26a0

1992107680 has 24 divisors (see below), whose sum is σ = 4706354772. Its totient is φ = 796843008.

The previous prime is 1992107669. The next prime is 1992107681. The reversal of 1992107680 is 867012991.

It can be written as a sum of positive squares in 2 ways, for example, as 1917388944 + 74718736 = 43788^2 + 8644^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1992107681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6225177 + ... + 6225496.

Almost surely, 21992107680 is an apocalyptic number.

1992107680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1992107680 is an abundant number, since it is smaller than the sum of its proper divisors (2714247092).

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

1992107680 is a wasteful number, since it uses less digits than its factorization.

1992107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12450688 (or 12450680 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 1992107680 is about 44633.0335065857. The cubic root of 1992107680 is about 1258.2615817846.

The spelling of 1992107680 in words is "one billion, nine hundred ninety-two million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12450673 24901346 49802692 62253365 99605384 124506730 199210768 249013460 398421536 498026920 996053840 1992107680