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25870120 = 235312673
BaseRepresentation
bin110001010101…
…1111100101000
31210200100010121
41202223330220
523110320440
62322253024
7432615043
oct142537450
953610117
1025870120
111366a671
1287b7174
13548a283
143615c5a
15241034a
hex18abf28

25870120 has 48 divisors (see below), whose sum is σ = 60235380. Its totient is φ = 9999360.

The previous prime is 25870111. The next prime is 25870123. The reversal of 25870120 is 2107852.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 649636 = 5022^2 + 806^2 .

It is not an unprimeable number, because it can be changed into a prime (25870123) 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 11 ways as a sum of consecutive naturals, for example, 38104 + ... + 38776.

Almost surely, 225870120 is an apocalyptic number.

25870120 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 25870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117690).

25870120 is an abundant number, since it is smaller than the sum of its proper divisors (34365260).

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

25870120 is a wasteful number, since it uses less digits than its factorization.

25870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 25870120 is about 5086.2677868944. The cubic root of 25870120 is about 295.7554895804.

Adding to 25870120 its reverse (2107852), we get a palindrome (27977972).

The spelling of 25870120 in words is "twenty-five million, eight hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 673 961 1240 1346 1922 2692 3365 3844 4805 5384 6730 7688 9610 13460 19220 20863 26920 38440 41726 83452 104315 166904 208630 417260 646753 834520 1293506 2587012 3233765 5174024 6467530 12935060 25870120