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10532000 = 25532633
BaseRepresentation
bin101000001011…
…010010100000
3201211002012002
4220023102200
510144011000
61013423132
7155343353
oct50132240
921732162
1010532000
115a43936
12363aaa8
132249a6b
14158229a
15dd08d5
hexa0b4a0

10532000 has 48 divisors (see below), whose sum is σ = 25886952. Its totient is φ = 4211200.

The previous prime is 10531987. The next prime is 10532003. The reversal of 10532000 is 23501.

It can be written as a sum of positive squares in 4 ways, for example, as 1507984 + 9024016 = 1228^2 + 3004^2 .

It is a super-2 number, since 2×105320002 = 221846048000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10532003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2684 + ... + 5316.

Almost surely, 210532000 is an apocalyptic number.

10532000 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 10532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943476).

10532000 is an abundant number, since it is smaller than the sum of its proper divisors (15354952).

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

10532000 is an equidigital number, since it uses as much as digits as its factorization.

10532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 10532000 is about 3245.3043000619. The cubic root of 10532000 is about 219.1981831593.

Adding to 10532000 its reverse (23501), we get a palindrome (10555501).

The spelling of 10532000 in words is "ten million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2633 4000 5266 10532 13165 21064 26330 42128 52660 65825 84256 105320 131650 210640 263300 329125 421280 526600 658250 1053200 1316500 2106400 2633000 5266000 10532000