Search a number
-
+
1942967040 = 2835741243
BaseRepresentation
bin111001111001111…
…0101001100000000
312000102000221201020
41303303311030000
512434344421130
6520444305440
766101642640
oct16363651400
95012027636
101942967040
11907832993
12462842280
1324c6c8a51
14146090520
15b5898e10
hex73cf5300

1942967040 has 432 divisors, whose sum is σ = 7438066944. Its totient is φ = 423198720.

The previous prime is 1942967029. The next prime is 1942967063. The reversal of 1942967040 is 407692491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1942966983 and 1942967001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45185259 + ... + 45185301.

Almost surely, 21942967040 is an apocalyptic number.

1942967040 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 1942967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719033472).

1942967040 is an abundant number, since it is smaller than the sum of its proper divisors (5495099904).

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

1942967040 is an equidigital number, since it uses as much as digits as its factorization.

1942967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1942967040 is about 44079.0998093201. The cubic root of 1942967040 is about 1247.8292008204.

The spelling of 1942967040 in words is "one billion, nine hundred forty-two million, nine hundred sixty-seven thousand, forty".