[go: up one dir, main page]

Search a number
-
+
2502540020 = 225486125741
BaseRepresentation
bin1001010100101001…
…1011101011110100
320110101222012112102
42111022123223310
520111122240040
61052154041232
7116005145021
oct22512335364
96411865472
102502540020
1110746893a2
1259a119218
1330b60b616
1419a512548
15e9a7d515
hex9529baf4

2502540020 has 24 divisors (see below), whose sum is σ = 5256619368. Its totient is φ = 1000771200.

The previous prime is 2502540017. The next prime is 2502540031. The reversal of 2502540020 is 200452052.

It can be written as a sum of positive squares in 4 ways, for example, as 986839396 + 1515700624 = 31414^2 + 38932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2502539974 and 2502540001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84350 + ... + 110090.

It is an arithmetic number, because the mean of its divisors is an integer number (219025807).

Almost surely, 22502540020 is an apocalyptic number.

2502540020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2502540020 is an abundant number, since it is smaller than the sum of its proper divisors (2754079348).

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

2502540020 is a wasteful number, since it uses less digits than its factorization.

2502540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30611 (or 30609 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2502540020 is about 50025.3937515738. The cubic root of 2502540020 is about 1357.6682977199.

Adding to 2502540020 its reverse (200452052), we get a palindrome (2702992072).

The spelling of 2502540020 in words is "two billion, five hundred two million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 4861 9722 19444 24305 25741 48610 51482 97220 102964 128705 257410 514820 125127001 250254002 500508004 625635005 1251270010 2502540020