Base | Representation |
---|---|
bin | 1110101000001… |
… | …11011110010000 |
3 | 22112220111221222 |
4 | 13110013132100 |
5 | 222403322000 |
6 | 20102104212 |
7 | 3020023523 |
oct | 724073620 |
9 | 275814858 |
10 | 122714000 |
11 | 632a5932 |
12 | 3511b068 |
13 | 1c567346 |
14 | 12424bba |
15 | ab8ea85 |
hex | 7507790 |
122714000 has 40 divisors (see below), whose sum is σ = 296727288. Its totient is φ = 49084800.
The previous prime is 122713991. The next prime is 122714063. The reversal of 122714000 is 417221.
It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 122235136 = 692^2 + 11056^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a self number, because there is not a number n which added to its sum of digits gives 122714000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28679 + ... + 32678.
Almost surely, 2122714000 is an apocalyptic number.
122714000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122714000 is an abundant number, since it is smaller than the sum of its proper divisors (174013288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122714000 is an equidigital number, since it uses as much as digits as its factorization.
122714000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61380 (or 61364 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 17.
The square root of 122714000 is about 11077.6351266866. The cubic root of 122714000 is about 496.9332282801.
The spelling of 122714000 in words is "one hundred twenty-two million, seven hundred fourteen thousand".
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