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25723040 = 2557217193
BaseRepresentation
bin110001000100…
…0000010100000
31210101212101012
41202020002200
523041114130
62315200052
7431433200
oct142100240
953355335
1025723040
111357a112
128746028
135438345
1435b8400
1523d1995
hex18880a0

25723040 has 144 divisors (see below), whose sum is σ = 75238632. Its totient is φ = 8257536.

The previous prime is 25723013. The next prime is 25723043. The reversal of 25723040 is 4032752.

25723040 is nontrivially palindromic in base 9 and base 13.

25723040 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 20830096 + 4892944 = 4564^2 + 2212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25722997 and 25723015.

It is not an unprimeable number, because it can be changed into a prime (25723043) 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, 133184 + ... + 133376.

Almost surely, 225723040 is an apocalyptic number.

25723040 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 25723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37619316).

25723040 is an abundant number, since it is smaller than the sum of its proper divisors (49515592).

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

25723040 is a wasteful number, since it uses less digits than its factorization.

25723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 25723040 is about 5071.7886391292. The cubic root of 25723040 is about 295.1939354860.

Adding to 25723040 its reverse (4032752), we get a palindrome (29755792).

The spelling of 25723040 in words is "twenty-five million, seven hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 68 70 80 85 98 112 119 136 140 160 170 193 196 224 238 245 272 280 340 386 392 476 490 544 560 595 680 772 784 833 952 965 980 1120 1190 1351 1360 1544 1568 1666 1904 1930 1960 2380 2702 2720 3088 3281 3332 3808 3860 3920 4165 4760 5404 6176 6562 6664 6755 7720 7840 8330 9457 9520 10808 13124 13328 13510 15440 16405 16660 18914 19040 21616 22967 26248 26656 27020 30880 32810 33320 37828 43232 45934 47285 52496 54040 65620 66640 75656 91868 94570 104992 108080 114835 131240 133280 151312 160769 183736 189140 216160 229670 262480 302624 321538 367472 378280 459340 524960 643076 734944 756560 803845 918680 1286152 1513120 1607690 1837360 2572304 3215380 3674720 5144608 6430760 12861520 25723040