Search a number
-
+
1920428596 = 221761653709
BaseRepresentation
bin111001001110111…
…0110101000110100
311221211121212210001
41302131312220310
512413112203341
6514321241044
765406242122
oct16235665064
94854555701
101920428596
118a6039479
12457193184
13247b370a8
141430a4912
15b38e5d31
hex72776a34

1920428596 has 48 divisors (see below), whose sum is σ = 3627424080. Its totient is φ = 886302720.

The previous prime is 1920428581. The next prime is 1920428597. The reversal of 1920428596 is 6958240291.

1920428596 = 3332 + 3342 + ... + 17962.

It can be written as a sum of positive squares in 8 ways, for example, as 443102500 + 1477326096 = 21050^2 + 38436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920428597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2708290 + ... + 2708998.

It is an arithmetic number, because the mean of its divisors is an integer number (75571335).

Almost surely, 21920428596 is an apocalyptic number.

It is an amenable number.

1920428596 is a deficient number, since it is larger than the sum of its proper divisors (1706995484).

1920428596 is a wasteful number, since it uses less digits than its factorization.

1920428596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 1920428596 is about 43822.6949878713. The cubic root of 1920428596 is about 1242.9854779608.

The spelling of 1920428596 in words is "one billion, nine hundred twenty million, four hundred twenty-eight thousand, five hundred ninety-six".

Divisors: 1 2 4 17 34 61 68 122 244 653 709 1037 1306 1418 2074 2612 2836 4148 11101 12053 22202 24106 39833 43249 44404 48212 79666 86498 159332 172996 462977 677161 735233 925954 1354322 1470466 1851908 2708644 2940932 7870609 15741218 28241597 31482436 56483194 112966388 480107149 960214298 1920428596