Base | Representation |
---|---|
bin | 1110110100000… |
… | …01111010100100 |
3 | 22122211021022002 |
4 | 13122001322210 |
5 | 223302422400 |
6 | 20155224432 |
7 | 3036141002 |
oct | 732017244 |
9 | 278737262 |
10 | 124264100 |
11 | 64164504 |
12 | 35748118 |
13 | 1c98aa6c |
14 | 12709a72 |
15 | ad98ed5 |
hex | 7681ea4 |
124264100 has 18 divisors (see below), whose sum is σ = 269653314. Its totient is φ = 49705600.
The previous prime is 124264057. The next prime is 124264103. The reversal of 124264100 is 1462421.
It can be written as a sum of positive squares in 3 ways, for example, as 17926756 + 106337344 = 4234^2 + 10312^2 .
It is a super-3 number, since 3×1242641003 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (124264103) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 621221 + ... + 621420.
Almost surely, 2124264100 is an apocalyptic number.
124264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
124264100 is an abundant number, since it is smaller than the sum of its proper divisors (145389214).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
124264100 is a wasteful number, since it uses less digits than its factorization.
124264100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1242655 (or 1242648 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 124264100 is about 11147.3808583003. The cubic root of 124264100 is about 499.0168681706.
The spelling of 124264100 in words is "one hundred twenty-four million, two hundred sixty-four thousand, one hundred".
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