Base | Representation |
---|---|
bin | 100110010100… |
… | …110011111000 |
3 | 200220102111110 |
4 | 212110303320 |
5 | 10032443322 |
6 | 555200320 |
7 | 151252464 |
oct | 46246370 |
9 | 20812443 |
10 | 10046712 |
11 | 5742275 |
12 | 34460a0 |
13 | 2109c00 |
14 | 14974a4 |
15 | d36c0c |
hex | 994cf8 |
10046712 has 48 divisors (see below), whose sum is σ = 27208440. Its totient is φ = 3090048.
The previous prime is 10046689. The next prime is 10046719. The reversal of 10046712 is 21764001.
10046712 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (10046719) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2818 + ... + 5294.
Almost surely, 210046712 is an apocalyptic number.
10046712 is a gapful number since it is divisible by the number (12) 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 10046712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604220).
10046712 is an abundant number, since it is smaller than the sum of its proper divisors (17161728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10046712 is a wasteful number, since it uses less digits than its factorization.
10046712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2512 (or 2495 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 21.
The square root of 10046712 is about 3169.6548708022. The cubic root of 10046712 is about 215.7784078653.
It can be divided in two parts, 100467 and 12, that multiplied together give a square (1205604 = 10982).
The spelling of 10046712 in words is "ten million, forty-six thousand, seven hundred twelve".
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