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25680240 = 243551321
BaseRepresentation
bin110000111110…
…1100101110000
31210022200200000
41201331211300
523033231430
62314230000
7431164335
oct141754560
953280600
1025680240
111354aa43
128725300
135421a11
1435a698c
1523c3e60
hex187d970

25680240 has 120 divisors (see below), whose sum is σ = 89504688. Its totient is φ = 6842880.

The previous prime is 25680233. The next prime is 25680247. The reversal of 25680240 is 4208652.

It is an interprime number because it is at equal distance from previous prime (25680233) and next prime (25680247).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25680247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18780 + ... + 20100.

Almost surely, 225680240 is an apocalyptic number.

25680240 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 25680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44752344).

25680240 is an abundant number, since it is smaller than the sum of its proper divisors (63824448).

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

25680240 is a wasteful number, since it uses less digits than its factorization.

25680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25680240 is about 5067.5674637838. The cubic root of 25680240 is about 295.0301223670.

Adding to 25680240 its reverse (4208652), we get a palindrome (29888892).

The spelling of 25680240 in words is "twenty-five million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1321 1620 1944 2160 2430 2642 3240 3888 3963 4860 5284 6480 6605 7926 9720 10568 11889 13210 15852 19440 19815 21136 23778 26420 31704 35667 39630 47556 52840 59445 63408 71334 79260 95112 105680 107001 118890 142668 158520 178335 190224 214002 237780 285336 317040 321003 356670 428004 475560 535005 570672 642006 713340 856008 951120 1070010 1284012 1426680 1605015 1712016 2140020 2568024 2853360 3210030 4280040 5136048 6420060 8560080 12840120 25680240