Search a number
-
+
1940757920 = 25512129737
BaseRepresentation
bin111001110101101…
…1001110110100000
312000020212201100222
41303223121312200
512433313223140
6520325102212
766044112233
oct16353316640
95006781328
101940757920
11906564172
12461b57968
1324c10438a
14145a7741a
15b55ae5b5
hex73ad9da0

1940757920 has 24 divisors (see below), whose sum is σ = 4585040964. Its totient is φ = 776303104.

The previous prime is 1940757913. The next prime is 1940757943. The reversal of 1940757920 is 297570491.

It can be written as a sum of positive squares in 2 ways, for example, as 1937056144 + 3701776 = 44012^2 + 1924^2 .

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 3 ways as a sum of consecutive naturals, for example, 6064709 + ... + 6065028.

Almost surely, 21940757920 is an apocalyptic number.

1940757920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1940757920 is an abundant number, since it is smaller than the sum of its proper divisors (2644283044).

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

1940757920 is a wasteful number, since it uses less digits than its factorization.

1940757920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129752 (or 12129744 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 1940757920 is about 44054.0340945072. The cubic root of 1940757920 is about 1247.3561013828.

The spelling of 1940757920 in words is "one billion, nine hundred forty million, seven hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12129737 24259474 48518948 60648685 97037896 121297370 194075792 242594740 388151584 485189480 970378960 1940757920