Search a number
-
+
1997470800 = 2433521341347
BaseRepresentation
bin111011100001110…
…1111110001010000
312011012121000211000
41313003233301100
513042323031200
6530112422000
7100333136013
oct16703576120
95135530730
101997470800
1193557a416
12478b47900
1325aaa00b0
1414d3db37a
15ba563300
hex770efc50

1997470800 has 480 divisors, whose sum is σ = 7865746560. Its totient is φ = 478310400.

The previous prime is 1997470763. The next prime is 1997470843. The reversal of 1997470800 is 80747991.

1997470800 is a `hidden beast` number, since 19 + 97 + 470 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5756227 + ... + 5756573.

It is an arithmetic number, because the mean of its divisors is an integer number (16386972).

Almost surely, 21997470800 is an apocalyptic number.

1997470800 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 1997470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932873280).

1997470800 is an abundant number, since it is smaller than the sum of its proper divisors (5868275760).

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

1997470800 is a wasteful number, since it uses less digits than its factorization.

1997470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1997470800 is about 44693.0732888218. The cubic root of 1997470800 is about 1259.3897271417.

The spelling of 1997470800 in words is "one billion, nine hundred ninety-seven million, four hundred seventy thousand, eight hundred".