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10532240 = 245173761
BaseRepresentation
bin101000001011…
…010110010000
3201211002111222
4220023112100
510144012430
61013424212
7155344145
oct50132620
921732458
1010532240
115a44034
12363b068
132249bc4
1415823cc
15dd09e5
hexa0b590

10532240 has 40 divisors (see below), whose sum is σ = 24661368. Its totient is φ = 4183040.

The previous prime is 10532239. The next prime is 10532243. The reversal of 10532240 is 4223501.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 10137856 = 628^2 + 3184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105322402 = 221856158835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10532243) 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, 13460 + ... + 14220.

Almost surely, 210532240 is an apocalyptic number.

10532240 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 10532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330684).

10532240 is an abundant number, since it is smaller than the sum of its proper divisors (14129128).

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

10532240 is a wasteful number, since it uses less digits than its factorization.

10532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10532240 is about 3245.3412763529. The cubic root of 10532240 is about 219.1998481538.

Adding to 10532240 its reverse (4223501), we get a palindrome (14755741).

The spelling of 10532240 in words is "ten million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 761 865 1384 1522 1730 2768 3044 3460 3805 6088 6920 7610 12176 13840 15220 30440 60880 131653 263306 526612 658265 1053224 1316530 2106448 2633060 5266120 10532240