Search a number
-
+
1920542240 = 25512003389
BaseRepresentation
bin111001001111001…
…0010011000100000
311221211211122200002
41302132102120200
512413124322430
6514323515132
765410224341
oct16236223040
94854748602
101920542240
118a61068a1
12457228aa8
13247b76a36
141430d40c8
15b3919845
hex72792620

1920542240 has 24 divisors (see below), whose sum is σ = 4537281420. Its totient is φ = 768216832.

The previous prime is 1920542201. The next prime is 1920542243. The reversal of 1920542240 is 422450291.

It can be written as a sum of positive squares in 2 ways, for example, as 1839037456 + 81504784 = 42884^2 + 9028^2 .

It is not an unprimeable number, because it can be changed into a prime (1920542243) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6001535 + ... + 6001854.

Almost surely, 21920542240 is an apocalyptic number.

1920542240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920542240 is an abundant number, since it is smaller than the sum of its proper divisors (2616739180).

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

1920542240 is a wasteful number, since it uses less digits than its factorization.

1920542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003404 (or 12003396 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1920542240 is about 43823.9916027739. The cubic root of 1920542240 is about 1243.0099959348.

The spelling of 1920542240 in words is "one billion, nine hundred twenty million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12003389 24006778 48013556 60016945 96027112 120033890 192054224 240067780 384108448 480135560 960271120 1920542240