[go: up one dir, main page]

Search a number
-
+
5300122400 = 25526625153
BaseRepresentation
bin1001110111110100…
…10111001100100000
3111200101010010002122
410323322113030200
541323312404100
62233532003412
7245225203616
oct47372271440
914611103078
105300122400
11227a865451
12103b000568
136660a0301
14383ca76b6
1521048b985
hex13be97320

5300122400 has 36 divisors (see below), whose sum is σ = 12938925762. Its totient is φ = 2120048640.

The previous prime is 5300122363. The next prime is 5300122459. The reversal of 5300122400 is 42210035.

It can be written as a sum of positive squares in 3 ways, for example, as 3995756944 + 1304365456 = 63212^2 + 36116^2 .

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 5 ways as a sum of consecutive naturals, for example, 3311777 + ... + 3313376.

Almost surely, 25300122400 is an apocalyptic number.

5300122400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5300122400 is an abundant number, since it is smaller than the sum of its proper divisors (7638803362).

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

5300122400 is a wasteful number, since it uses less digits than its factorization.

5300122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625173 (or 6625160 counting only the distinct ones).

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

The square root of 5300122400 is about 72801.9395346031. The cubic root of 5300122400 is about 1743.5268229253.

Adding to 5300122400 its reverse (42210035), we get a palindrome (5342332435).

The spelling of 5300122400 in words is "five billion, three hundred million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6625153 13250306 26500612 33125765 53001224 66251530 106002448 132503060 165628825 212004896 265006120 331257650 530012240 662515300 1060024480 1325030600 2650061200 5300122400