Search a number
-
+
25798140 = 22325331433
BaseRepresentation
bin110001001101…
…0010111111100
31210112200101200
41202122113330
523101020030
62320535500
7432165144
oct142322774
953480350
1025798140
1113620585
128781590
135463594
1435d7924
1523e8d60
hex189a5fc

25798140 has 72 divisors (see below), whose sum is σ = 78672048. Its totient is φ = 6842880.

The previous prime is 25798133. The next prime is 25798141. The reversal of 25798140 is 4189752.

25798140 is a `hidden beast` number, since 2 + 579 + 81 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25798095 and 25798104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25798141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59364 + ... + 59796.

Almost surely, 225798140 is an apocalyptic number.

25798140 is a gapful number since it is divisible by the number (20) 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 25798140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39336024).

25798140 is an abundant number, since it is smaller than the sum of its proper divisors (52873908).

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

25798140 is a wasteful number, since it uses less digits than its factorization.

25798140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 25798140 is about 5079.1869428089. The cubic root of 25798140 is about 295.4809353226.

The spelling of 25798140 in words is "twenty-five million, seven hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 433 662 866 993 1299 1324 1655 1732 1986 2165 2598 2979 3310 3897 3972 4330 4965 5196 5958 6495 6620 7794 8660 9930 11916 12990 14895 15588 19485 19860 25980 29790 38970 59580 77940 143323 286646 429969 573292 716615 859938 1289907 1433230 1719876 2149845 2579814 2866460 4299690 5159628 6449535 8599380 12899070 25798140