Base | Representation |
---|---|
bin | 1100010110000… |
… | …01000000000000 |
3 | 21012211221020100 |
4 | 12023001000000 |
5 | 203002112401 |
6 | 14135242400 |
7 | 2365111614 |
oct | 613010000 |
9 | 235757210 |
10 | 103550976 |
11 | 534a7421 |
12 | 2a819400 |
13 | 185b7b89 |
14 | da77344 |
15 | 9156b86 |
hex | 62c1000 |
103550976 has 117 divisors (see below), whose sum is σ = 304860829. Its totient is φ = 33865728.
The previous prime is 103550971. The next prime is 103550987. The reversal of 103550976 is 679055301.
It is a happy number.
The square root of 103550976 is 10176.
It is a perfect power (a square), and thus also a powerful number.
103550976 is a `hidden beast` number, since 10 + 3 + 550 + 97 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 74649600 + 28901376 = 8640^2 + 5376^2 .
It is a super-3 number, since 3×1035509763 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 103550976.
It is not an unprimeable number, because it can be changed into a prime (103550971) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1953766 + ... + 1953818.
Almost surely, 2103550976 is an apocalyptic number.
103550976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
103550976 is the 10176-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 103550976
103550976 is an abundant number, since it is smaller than the sum of its proper divisors (201309853).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103550976 is an frugal number, since it uses more digits than its factorization.
103550976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136 (or 58 counting only the distinct ones).
The product of its (nonzero) digits is 28350, while the sum is 36.
The cubic root of 103550976 is about 469.5891626365.
Multiplying 103550976 by its sum of digits (36), we get a square (3727835136 = 610562).
103550976 divided by its sum of digits (36) gives a square (2876416 = 16962).
The spelling of 103550976 in words is "one hundred three million, five hundred fifty thousand, nine hundred seventy-six".
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