Base | Representation |
---|---|
bin | 1110011010101… |
… | …11111111010000 |
3 | 22102120201121012 |
4 | 13031113333100 |
5 | 221430243030 |
6 | 20000150052 |
7 | 2666013053 |
oct | 715277720 |
9 | 272521535 |
10 | 120946640 |
11 | 622a9001 |
12 | 34608328 |
13 | 1c098a79 |
14 | 120c4a9a |
15 | a941095 |
hex | 7357fd0 |
120946640 has 40 divisors (see below), whose sum is σ = 281801160. Its totient is φ = 48275456.
The previous prime is 120946607. The next prime is 120946669. The reversal of 120946640 is 46649021.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 5513104 + 115433536 = 2348^2 + 10744^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 120946597 and 120946606.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 44192 + ... + 46848.
It is an arithmetic number, because the mean of its divisors is an integer number (7045029).
Almost surely, 2120946640 is an apocalyptic number.
120946640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
120946640 is an abundant number, since it is smaller than the sum of its proper divisors (160854520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120946640 is a wasteful number, since it uses less digits than its factorization.
120946640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3239 (or 3233 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 32.
The square root of 120946640 is about 10997.5742779942. The cubic root of 120946640 is about 494.5360275118.
The spelling of 120946640 in words is "one hundred twenty million, nine hundred forty-six thousand, six hundred forty".
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