Base | Representation |
---|---|
bin | 1000001110001… |
… | …11111010110010 |
3 | 11210210100201000 |
4 | 10013013322302 |
5 | 120124220211 |
6 | 10502222430 |
7 | 1465201050 |
oct | 407077262 |
9 | 153710630 |
10 | 68976306 |
11 | 35a31a13 |
12 | 1b124a16 |
13 | 113a08a9 |
14 | 92371d0 |
15 | 60c7656 |
hex | 41c7eb2 |
68976306 has 64 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 19602000.
The previous prime is 68976301. The next prime is 68976329. The reversal of 68976306 is 60367986.
68976306 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 630 + 6 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (68976301) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94515 + ... + 95241.
It is an arithmetic number, because the mean of its divisors is an integer number (2751840).
Almost surely, 268976306 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 68976306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).
68976306 is an abundant number, since it is smaller than the sum of its proper divisors (107141454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68976306 is a wasteful number, since it uses less digits than its factorization.
68976306 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 996 (or 990 counting only the distinct ones).
The product of its (nonzero) digits is 326592, while the sum is 45.
The square root of 68976306 is about 8305.1975292584. The cubic root of 68976306 is about 410.1096395262.
It can be divided in two parts, 6897 and 6306, that added together give a triangular number (13203 = T162).
The spelling of 68976306 in words is "sixty-eight million, nine hundred seventy-six thousand, three hundred six".
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