Search a number
-
+
1869091040 = 25518676257
BaseRepresentation
bin110111101101000…
…0001000011100000
311211021000122220002
41233122001003200
512311441403130
6505245035132
764214004005
oct15732010340
94737018802
101869091040
1187a064843
12441b55aa8
1323a300c3b
1413a33d8ac
15ae154b45
hex6f6810e0

1869091040 has 48 divisors (see below), whose sum is σ = 4418798832. Its totient is φ = 747116544.

The previous prime is 1869091039. The next prime is 1869091069. The reversal of 1869091040 is 401909681.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1869090985 and 1869091003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 295592 + ... + 301848.

It is an arithmetic number, because the mean of its divisors is an integer number (92058309).

Almost surely, 21869091040 is an apocalyptic number.

1869091040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1869091040 is an abundant number, since it is smaller than the sum of its proper divisors (2549707792).

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

1869091040 is a wasteful number, since it uses less digits than its factorization.

1869091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 1869091040 is about 43232.9855550134. The cubic root of 1869091040 is about 1231.8093186084.

The spelling of 1869091040 in words is "one billion, eight hundred sixty-nine million, ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1867 3734 6257 7468 9335 12514 14936 18670 25028 29872 31285 37340 50056 59744 62570 74680 100112 125140 149360 200224 250280 298720 500560 1001120 11681819 23363638 46727276 58409095 93454552 116818190 186909104 233636380 373818208 467272760 934545520 1869091040