Base | Representation |
---|---|
bin | 11100001011111101… |
… | …111100111101000100 |
3 | 2220010020222210110000 |
4 | 130023331330331010 |
5 | 443440440422100 |
6 | 21523120001300 |
7 | 2121003010611 |
oct | 341375747504 |
9 | 86106883400 |
10 | 30265560900 |
11 | 11921135953 |
12 | 5a47a60230 |
13 | 2b143c5523 |
14 | 1671815508 |
15 | bc20d3900 |
hex | 70bf7cf44 |
30265560900 has 135 divisors (see below), whose sum is σ = 98159772711. Its totient is φ = 8066640960.
The previous prime is 30265560877. The next prime is 30265560901. The reversal of 30265560900 is 906556203.
The square root of 30265560900 is 173970.
It is a perfect power (a square), and thus also a powerful number.
30265560900 is a `hidden beast` number, since 3 + 0 + 2 + 6 + 5 + 560 + 90 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 30209220864 = 7506^2 + 173808^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (30265560901) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15656334 + ... + 15658266.
Almost surely, 230265560900 is an apocalyptic number.
30265560900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
30265560900 is the 173970-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30265560900
30265560900 is an abundant number, since it is smaller than the sum of its proper divisors (67894211811).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30265560900 is an equidigital number, since it uses as much as digits as its factorization.
30265560900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3892 (or 1943 counting only the distinct ones).
The product of its (nonzero) digits is 48600, while the sum is 36.
Multiplying 30265560900 by its sum of digits (36), we get a square (1089560192400 = 10438202).
30265560900 divided by its sum of digits (36) gives a square (840710025 = 289952).
The spelling of 30265560900 in words is "thirty billion, two hundred sixty-five million, five hundred sixty thousand, nine hundred".
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