| Base | Representation |
|---|---|
| bin | 11110001110001… |
| … | …10100010000000 |
| 3 | 122200001011001122 |
| 4 | 33013012202000 |
| 5 | 1004400120000 |
| 6 | 41053451412 |
| 7 | 6165612236 |
| oct | 1707064200 |
| 9 | 580034048 |
| 10 | 253520000 |
| 11 | 120118368 |
| 12 | 70aa0b68 |
| 13 | 406a5946 |
| 14 | 25954956 |
| 15 | 173cc085 |
| hex | f1c6880 |
253520000 has 80 divisors (see below), whose sum is σ = 631321350. Its totient is φ = 101376000.
The previous prime is 253519993. The next prime is 253520009. The reversal of 253520000 is 25352.
It can be written as a sum of positive squares in 5 ways, for example, as 20286016 + 233233984 = 4504^2 + 15272^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (253520009) 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 9 ways as a sum of consecutive naturals, for example, 78416 + ... + 81584.
Almost surely, 2253520000 is an apocalyptic number.
253520000 is a gapful number since it is divisible by the number (20) 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 253520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315660675).
253520000 is an abundant number, since it is smaller than the sum of its proper divisors (377801350).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253520000 is an frugal number, since it uses more digits than its factorization.
253520000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3203 (or 3176 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 17.
The square root of 253520000 is about 15922.3113899961. The cubic root of 253520000 is about 632.9033708350.
Adding to 253520000 its reverse (25352), we get a palindrome (253545352).
Multiplying 253520000 by its reverse (25352), we get a square (6427239040000 = 25352002).
253520000 divided by its reverse (25352) gives a 4-th power (10000 = 104).
The spelling of 253520000 in words is "two hundred fifty-three million, five hundred twenty thousand".
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