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10525000 = 2355421
BaseRepresentation
bin101000001001…
…100101001000
3201210201120211
4220021211020
510143300000
61013330504
7155314063
oct50114510
921721524
1010525000
115a39652
123636a34
132246815
14157d8da
15dcd7ba
hexa09948

10525000 has 48 divisors (see below), whose sum is σ = 24724980. Its totient is φ = 4200000.

The previous prime is 10524991. The next prime is 10525013. The reversal of 10525000 is 52501.

It can be written as a sum of positive squares in 6 ways, for example, as 4502884 + 6022116 = 2122^2 + 2454^2 .

It is a super-2 number, since 2×105250002 = 221551250000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24790 + ... + 25210.

It is a vampire number, since it can be written as 21055000 (with its own digits).

Almost surely, 210525000 is an apocalyptic number.

10525000 is a gapful number since it is divisible by the number (10) 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 10525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362490).

10525000 is an abundant number, since it is smaller than the sum of its proper divisors (14199980).

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

10525000 is an frugal number, since it uses more digits than its factorization.

10525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 10525000 is about 3244.2256395017. The cubic root of 10525000 is about 219.1496096897.

Adding to 10525000 its reverse (52501), we get a palindrome (10577501).

The spelling of 10525000 in words is "ten million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 421 500 625 842 1000 1250 1684 2105 2500 3125 3368 4210 5000 6250 8420 10525 12500 16840 21050 25000 42100 52625 84200 105250 210500 263125 421000 526250 1052500 1315625 2105000 2631250 5262500 10525000