Search a number
-
+
1791989640 = 233257977331
BaseRepresentation
bin110101011001111…
…1001011110001000
311121212221111122200
41222303321132020
512132222132030
6453452320200
762256442410
oct15263713610
94555844580
101791989640
1183a593381
12420173060
13227346ccc
1412ddcd640
15a74c4d60
hex6acf9788

1791989640 has 192 divisors, whose sum is σ = 6725496960. Its totient is φ = 405319680.

The previous prime is 1791989621. The next prime is 1791989653. The reversal of 1791989640 is 469891971.

It is a super-2 number, since 2×17919896402 = 6422453739734659200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 240775 + ... + 248105.

It is an arithmetic number, because the mean of its divisors is an integer number (35028630).

Almost surely, 21791989640 is an apocalyptic number.

1791989640 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 1791989640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362748480).

1791989640 is an abundant number, since it is smaller than the sum of its proper divisors (4933507320).

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

1791989640 is a wasteful number, since it uses less digits than its factorization.

1791989640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 1791989640 is about 42331.8986108585. The cubic root of 1791989640 is about 1214.6332480418.

The spelling of 1791989640 in words is "one billion, seven hundred ninety-one million, nine hundred eighty-nine thousand, six hundred forty".