Base | Representation |
---|---|
bin | 100110010010… |
… | …011110000100 |
3 | 200212221100100 |
4 | 212102132010 |
5 | 10032141444 |
6 | 555044100 |
7 | 151212516 |
oct | 46223604 |
9 | 20787310 |
10 | 10037124 |
11 | 5736049 |
12 | 3440630 |
13 | 2105736 |
14 | 1493bb6 |
15 | d33e69 |
hex | 992784 |
10037124 has 18 divisors (see below), whose sum is σ = 25371710. Its totient is φ = 3345696.
The previous prime is 10037099. The next prime is 10037129. The reversal of 10037124 is 42173001.
It can be written as a sum of positive squares in only one way, i.e., 10036224 + 900 = 3168^2 + 30^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10037097 and 10037106.
It is not an unprimeable number, because it can be changed into a prime (10037129) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139369 + ... + 139440.
Almost surely, 210037124 is an apocalyptic number.
It is an amenable number.
10037124 is an abundant number, since it is smaller than the sum of its proper divisors (15334586).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10037124 is a wasteful number, since it uses less digits than its factorization.
10037124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 278819 (or 278814 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 10037124 is about 3168.1420422702. The cubic root of 10037124 is about 215.7097438797.
The spelling of 10037124 in words is "ten million, thirty-seven thousand, one hundred twenty-four".
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