Base | Representation |
---|---|
bin | 100110011001… |
… | …110011001100 |
3 | 200221110112100 |
4 | 212121303030 |
5 | 10034122043 |
6 | 555435100 |
7 | 151366200 |
oct | 46316314 |
9 | 20843470 |
10 | 10067148 |
11 | 5756663 |
12 | 3455a90 |
13 | 21162c0 |
14 | 14a0b00 |
15 | d3ccd3 |
hex | 999ccc |
10067148 has 108 divisors (see below), whose sum is σ = 31951920. Its totient is φ = 2649024.
The previous prime is 10067107. The next prime is 10067149. The reversal of 10067148 is 84176001.
It is a happy number.
10067148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a plaindrome in base 16.
It is a zygodrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (10067149) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22713 + ... + 23151.
Almost surely, 210067148 is an apocalyptic number.
10067148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10067148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975960).
10067148 is an abundant number, since it is smaller than the sum of its proper divisors (21884772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10067148 is a wasteful number, since it uses less digits than its factorization.
10067148 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 476 (or 464 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 10067148 is about 3172.8769279630. The cubic root of 10067148 is about 215.9246136101.
The spelling of 10067148 in words is "ten million, sixty-seven thousand, one hundred forty-eight".
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