Base | Representation |
---|---|
bin | 10000001011011… |
… | …11011000000100 |
3 | 100110101102021021 |
4 | 20011233120010 |
5 | 234221110000 |
6 | 21245000524 |
7 | 3235423264 |
oct | 1005573004 |
9 | 313342237 |
10 | 135722500 |
11 | 6a680361 |
12 | 39553144 |
13 | 22170394 |
14 | 1404d7a4 |
15 | bdae11a |
hex | 816f604 |
135722500 has 45 divisors (see below), whose sum is σ = 298077241. Its totient is φ = 54056000.
The previous prime is 135722459. The next prime is 135722501. The reversal of 135722500 is 5227531.
The square root of 135722500 is 11650.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 7 ways, for example, as 131194116 + 4528384 = 11454^2 + 2128^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (135722501) 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 14 ways as a sum of consecutive naturals, for example, 582384 + ... + 582616.
Almost surely, 2135722500 is an apocalyptic number.
135722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
135722500 is the 11650-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 135722500
135722500 is an abundant number, since it is smaller than the sum of its proper divisors (162354741).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135722500 is an frugal number, since it uses more digits than its factorization.
135722500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 490 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 2100, while the sum is 25.
The cubic root of 135722500 is about 513.9063100444.
Multiplying 135722500 by its sum of digits (25), we get a square (3393062500 = 582502).
135722500 divided by its sum of digits (25) gives a square (5428900 = 23302).
The spelling of 135722500 in words is "one hundred thirty-five million, seven hundred twenty-two thousand, five hundred".
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