Search a number
-
+
5532100 = 2252721129
BaseRepresentation
bin10101000110100111000100
3101102001121121
4111012213010
52404011400
6314323324
765010400
oct25064704
911361547
105532100
113139392
121a29544
1311b9042
14a40100
1574421a
hex5469c4

5532100 has 54 divisors (see below), whose sum is σ = 13976970. Its totient is φ = 1895040.

The previous prime is 5532091. The next prime is 5532103. The reversal of 5532100 is 12355.

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 5531904 = 14^2 + 2352^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5532103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4336 + ... + 5464.

Almost surely, 25532100 is an apocalyptic number.

5532100 is a gapful number since it is divisible by the number (50) 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 5532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988485).

5532100 is an abundant number, since it is smaller than the sum of its proper divisors (8444870).

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

5532100 is a wasteful number, since it uses less digits than its factorization.

5532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5532100 is about 2352.0416662976. The cubic root of 5532100 is about 176.8601574530.

Adding to 5532100 its reverse (12355), we get a palindrome (5544455).

The spelling of 5532100 in words is "five million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1129 1225 2258 2450 4516 4900 5645 7903 11290 15806 22580 28225 31612 39515 55321 56450 79030 110642 112900 158060 197575 221284 276605 395150 553210 790300 1106420 1383025 2766050 5532100