Search a number
-
+
1661816400 = 243521384847
BaseRepresentation
bin110001100001101…
…0100111001010000
311021211000000112120
41203003110321100
511400411111100
6432522254240
756116130526
oct14303247120
94254000476
101661816400
11783063292
123a4657380
1320639a71a
1411a9c6316
159ad600a0
hex630d4e50

1661816400 has 60 divisors (see below), whose sum is σ = 5323355712. Its totient is φ = 443150720.

The previous prime is 1661816389. The next prime is 1661816417. The reversal of 1661816400 is 46181661.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 691224 + ... + 693623.

Almost surely, 21661816400 is an apocalyptic number.

1661816400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1661816400 is an abundant number, since it is smaller than the sum of its proper divisors (3661539312).

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

1661816400 is a wasteful number, since it uses less digits than its factorization.

1661816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384868 (or 1384857 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1661816400 is about 40765.3823727927. The cubic root of 1661816400 is about 1184.4798586043.

The spelling of 1661816400 in words is "one billion, six hundred sixty-one million, eight hundred sixteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1384847 2769694 4154541 5539388 6924235 8309082 11078776 13848470 16618164 20772705 22157552 27696940 33236328 34621175 41545410 55393880 66472656 69242350 83090820 103863525 110787760 138484700 166181640 207727050 276969400 332363280 415454100 553938800 830908200 1661816400