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25209640 = 23517131283
BaseRepresentation
bin110000000101…
…0101100101000
31202102210010101
41200022230220
522423202030
62300155144
7424164331
oct140125450
952383111
1025209640
1113259415
128538ab4
1352b8761
1434c3288
15232e7ca
hex180ab28

25209640 has 64 divisors (see below), whose sum is σ = 60730560. Its totient is φ = 9384960.

The previous prime is 25209631. The next prime is 25209643. The reversal of 25209640 is 4690252.

It is a junction number, because it is equal to n+sod(n) for n = 25209599 and 25209608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25209643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88939 + ... + 89221.

It is an arithmetic number, because the mean of its divisors is an integer number (948915).

Almost surely, 225209640 is an apocalyptic number.

25209640 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 25209640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30365280).

25209640 is an abundant number, since it is smaller than the sum of its proper divisors (35520920).

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

25209640 is a wasteful number, since it uses less digits than its factorization.

25209640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 25209640 is about 5020.9202343794. The cubic root of 25209640 is about 293.2168212665.

Adding to 25209640 its reverse (4690252), we get a palindrome (29899892).

The spelling of 25209640 in words is "twenty-five million, two hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 283 340 524 566 655 680 1048 1132 1310 1415 2227 2264 2620 2830 4454 4811 5240 5660 8908 9622 11135 11320 17816 19244 22270 24055 37073 38488 44540 48110 74146 89080 96220 148292 185365 192440 296584 370730 630241 741460 1260482 1482920 2520964 3151205 5041928 6302410 12604820 25209640