Base | Representation |
---|---|
bin | 111001011111… |
… | …1111001000000 |
3 | 2002201120200200 |
4 | 1302333321000 |
5 | 30204133422 |
6 | 2554045200 |
7 | 514144353 |
oct | 162777100 |
9 | 62646620 |
10 | 30146112 |
11 | 16020247 |
12 | a119800 |
13 | 6326649 |
14 | 400a29a |
15 | 29a72ac |
hex | 1cbfe40 |
30146112 has 84 divisors (see below), whose sum is σ = 87172800. Its totient is φ = 9960192.
The previous prime is 30146099. The next prime is 30146119. The reversal of 30146112 is 21164103.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (30146119) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114493 + ... + 114755.
Almost surely, 230146112 is an apocalyptic number.
30146112 is a gapful number since it is divisible by the number (32) 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 30146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43586400).
30146112 is an abundant number, since it is smaller than the sum of its proper divisors (57026688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30146112 is a wasteful number, since it uses less digits than its factorization.
30146112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 480 (or 467 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 30146112 is about 5490.5475136820. The cubic root of 30146112 is about 311.2268826882.
Subtracting from 30146112 its reverse (21164103), we obtain a square (8982009 = 29972).
The spelling of 30146112 in words is "thirty million, one hundred forty-six thousand, one hundred twelve".
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