Base | Representation |
---|---|
bin | 1100010100101… |
… | …10101100001000 |
3 | 21012112010111200 |
4 | 12022112230020 |
5 | 202431041142 |
6 | 14131424200 |
7 | 2363460426 |
oct | 612265410 |
9 | 235463450 |
10 | 103377672 |
11 | 533991a2 |
12 | 2a755060 |
13 | 18557028 |
14 | da30116 |
15 | 912064c |
hex | 6296b08 |
103377672 has 24 divisors (see below), whose sum is σ = 279981390. Its totient is φ = 34459200.
The previous prime is 103377643. The next prime is 103377679. The reversal of 103377672 is 276773301.
It can be written as a sum of positive squares in only one way, i.e., 79816356 + 23561316 = 8934^2 + 4854^2 .
It is a tau number, because it is divible by the number of its divisors (24).
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 (103377679) 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 5 ways as a sum of consecutive naturals, for example, 717829 + ... + 717972.
Almost surely, 2103377672 is an apocalyptic number.
103377672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
103377672 is an abundant number, since it is smaller than the sum of its proper divisors (176603718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103377672 is a wasteful number, since it uses less digits than its factorization.
103377672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1435813 (or 1435806 counting only the distinct ones).
The product of its (nonzero) digits is 37044, while the sum is 36.
The square root of 103377672 is about 10167.4811039903. The cubic root of 103377672 is about 469.3270465720.
The spelling of 103377672 in words is "one hundred three million, three hundred seventy-seven thousand, six hundred seventy-two".
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