Base | Representation |
---|---|
bin | 11100000110110111… |
… | …101010111100010000 |
3 | 2212220022001021121100 |
4 | 130012313222330100 |
5 | 443302041400201 |
6 | 21510422424400 |
7 | 2115614002224 |
oct | 340667527420 |
9 | 85808037540 |
10 | 30180028176 |
11 | 11887925951 |
12 | 5a23292100 |
13 | 2acc778a4c |
14 | 166430c784 |
15 | bb983a886 |
hex | 706deaf10 |
30180028176 has 135 divisors (see below), whose sum is σ = 87461921703. Its totient is φ = 9714646080.
The previous prime is 30180028171. The next prime is 30180028181. The reversal of 30180028176 is 67182008103.
The square root of 30180028176 is 173724.
It is a perfect power (a square), and thus also a powerful number.
30180028176 is a `hidden beast` number, since 301 + 8 + 0 + 0 + 281 + 76 = 666.
It is an interprime number because it is at equal distance from previous prime (30180028171) and next prime (30180028181).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 30180028176.
It is not an unprimeable number, because it can be changed into a prime (30180028171) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64625095 + ... + 64625561.
Almost surely, 230180028176 is an apocalyptic number.
30180028176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
30180028176 is the 173724-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30180028176
30180028176 is an abundant number, since it is smaller than the sum of its proper divisors (57281893527).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30180028176 is an equidigital number, since it uses as much as digits as its factorization.
30180028176 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1010 (or 503 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
Multiplying 30180028176 by its sum of digits (36), we get a square (1086481014336 = 10423442).
30180028176 divided by its sum of digits (36) gives a square (838334116 = 289542).
The spelling of 30180028176 in words is "thirty billion, one hundred eighty million, twenty-eight thousand, one hundred seventy-six".
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