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5631520 = 25561577
BaseRepresentation
bin10101011110111000100000
3101121002222211
4111132320200
52420202040
6320411504
765603266
oct25367040
911532884
105631520
1131a7054
121a76b94
13122237b
14a68436
157638ea
hex55ee20

5631520 has 48 divisors (see below), whose sum is σ = 13546008. Its totient is φ = 2211840.

The previous prime is 5631499. The next prime is 5631523. The reversal of 5631520 is 251365.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 913936 = 2172^2 + 956^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 5631491 and 5631500.

It is not an unprimeable number, because it can be changed into a prime (5631523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9472 + ... + 10048.

Almost surely, 25631520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773004).

5631520 is an abundant number, since it is smaller than the sum of its proper divisors (7914488).

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

5631520 is a wasteful number, since it uses less digits than its factorization.

5631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5631520 is about 2373.0823837364. The cubic root of 5631520 is about 177.9133526017.

Adding to 5631520 its reverse (251365), we get a palindrome (5882885).

The spelling of 5631520 in words is "five million, six hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 577 610 976 1154 1220 1952 2308 2440 2885 4616 4880 5770 9232 9760 11540 18464 23080 35197 46160 70394 92320 140788 175985 281576 351970 563152 703940 1126304 1407880 2815760 5631520