Search a number
-
+
25890105840 = 2435107875441
BaseRepresentation
bin11000000111001010…
…111010100111110000
32110211022210122110220
4120013022322213300
5411010331341330
615521014453040
71604403161064
oct300712724760
973738718426
1025890105840
11aa86320795
125026664180
132597a77571
141378689aa4
15a17de7710
hex6072ba9f0

25890105840 has 40 divisors (see below), whose sum is σ = 80259328848. Its totient is φ = 6904028160.

The previous prime is 25890105811. The next prime is 25890105847. The reversal of 25890105840 is 4850109852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 25890105792 and 25890105801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25890105847) 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 7 ways as a sum of consecutive naturals, for example, 53937481 + ... + 53937960.

Almost surely, 225890105840 is an apocalyptic number.

25890105840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25890105840 is an abundant number, since it is smaller than the sum of its proper divisors (54369223008).

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

25890105840 is a wasteful number, since it uses less digits than its factorization.

25890105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107875457 (or 107875451 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 25890105840 in words is "twenty-five billion, eight hundred ninety million, one hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 107875441 215750882 323626323 431501764 539377205 647252646 863003528 1078754410 1294505292 1618131615 1726007056 2157508820 2589010584 3236263230 4315017640 5178021168 6472526460 8630035280 12945052920 25890105840