Base | Representation |
---|---|
bin | 1000001011011… |
… | …00011001110000 |
3 | 11210002022111200 |
4 | 10011230121300 |
5 | 120030221311 |
6 | 10450211200 |
7 | 1462050150 |
oct | 405543160 |
9 | 153068450 |
10 | 68601456 |
11 | 357a6320 |
12 | 1ab83b00 |
13 | 1129c0a1 |
14 | 917a760 |
15 | 6051556 |
hex | 416c670 |
68601456 has 240 divisors, whose sum is σ = 250698240. Its totient is φ = 16980480.
The previous prime is 68601437. The next prime is 68601461. The reversal of 68601456 is 65410686.
68601456 = T440 + T441 + ... + T791.
68601456 is a `hidden beast` number, since 6 + 8 + 601 + 45 + 6 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 68601456.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254890 + ... + 255158.
It is an arithmetic number, because the mean of its divisors is an integer number (1044576).
Almost surely, 268601456 is an apocalyptic number.
68601456 is a gapful number since it is divisible by the number (66) 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 68601456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).
68601456 is an abundant number, since it is smaller than the sum of its proper divisors (182096784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68601456 is a wasteful number, since it uses less digits than its factorization.
68601456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 324 (or 315 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 68601456 is about 8282.5995919156. The cubic root of 68601456 is about 409.3653794993.
The spelling of 68601456 in words is "sixty-eight million, six hundred one thousand, four hundred fifty-six".
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