Base | Representation |
---|---|
bin | 111100011110101… |
… | …011111000100100 |
3 | 2121201021221012200 |
4 | 330132223320210 |
5 | 4034224131103 |
6 | 244404014500 |
7 | 34100420031 |
oct | 7436537044 |
9 | 2551257180 |
10 | 1014677028 |
11 | 480838962 |
12 | 243991430 |
13 | 1322a8811 |
14 | 98a8c388 |
15 | 5e1300a3 |
hex | 3c7abe24 |
1014677028 has 72 divisors (see below), whose sum is σ = 2720134872. Its totient is φ = 317816832.
The previous prime is 1014677023. The next prime is 1014677029. The reversal of 1014677028 is 8207764101.
1014677028 is a `hidden beast` number, since 101 + 467 + 70 + 28 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 806105664 + 208571364 = 28392^2 + 14442^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1014676983 and 1014677001.
It is not an unprimeable number, because it can be changed into a prime (1014677023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597076 + ... + 598772.
It is an arithmetic number, because the mean of its divisors is an integer number (37779651).
Almost surely, 21014677028 is an apocalyptic number.
1014677028 is a gapful number since it is divisible by the number (18) 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 1014677028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360067436).
1014677028 is an abundant number, since it is smaller than the sum of its proper divisors (1705457844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1014677028 is a wasteful number, since it uses less digits than its factorization.
1014677028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 36.
The square root of 1014677028 is about 31853.9954793743. The cubic root of 1014677028 is about 1004.8686009244.
The spelling of 1014677028 in words is "one billion, fourteen million, six hundred seventy-seven thousand, twenty-eight".
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