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2530100 = 225225301
BaseRepresentation
bin1001101001101100110100
311202112122102
421221230310
51121430400
6130121232
730335246
oct11515464
94675572
102530100
1114789a1
12a20218
136a7801
1449c096
1534e9d5
hex269b34

2530100 has 18 divisors (see below), whose sum is σ = 5490534. Its totient is φ = 1012000.

The previous prime is 2530091. The next prime is 2530103. The reversal of 2530100 is 10352.

2530100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 256036 + 2274064 = 506^2 + 1508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530103) 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 5 ways as a sum of consecutive naturals, for example, 12551 + ... + 12750.

22530100 is an apocalyptic number.

2530100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530100 is an abundant number, since it is smaller than the sum of its proper divisors (2960434).

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

2530100 is a wasteful number, since it uses less digits than its factorization.

2530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25315 (or 25308 counting only the distinct ones).

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

The square root of 2530100 is about 1590.6288064787. The cubic root of 2530100 is about 136.2634024355.

Adding to 2530100 its reverse (10352), we get a palindrome (2540452).

The spelling of 2530100 in words is "two million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25301 50602 101204 126505 253010 506020 632525 1265050 2530100