Base | Representation |
---|---|
bin | 101000110000… |
… | …011111000101 |
3 | 202002211011221 |
4 | 220300133011 |
5 | 10213344412 |
6 | 1021000341 |
7 | 156546505 |
oct | 50603705 |
9 | 22084157 |
10 | 10684357 |
11 | 6038352 |
12 | 36b30b1 |
13 | 22a1208 |
14 | 15c1a05 |
15 | e10b07 |
hex | a307c5 |
10684357 has 2 divisors, whose sum is σ = 10684358. Its totient is φ = 10684356.
The previous prime is 10684337. The next prime is 10684391. The reversal of 10684357 is 75348601.
It is an a-pointer prime, because the next prime (10684391) can be obtained adding 10684357 to its sum of digits (34).
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 6974881 + 3709476 = 2641^2 + 1926^2 .
It is an emirp because it is prime and its reverse (75348601) is a distict prime.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-10684357 is a prime.
It is a super-2 number, since 2×106843572 = 228310969006898, which contains 22 as substring.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (10684337) by changing a digit.
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 as a sum of consecutive naturals, namely, 5342178 + 5342179.
It is an arithmetic number, because the mean of its divisors is an integer number (5342179).
Almost surely, 210684357 is an apocalyptic number.
It is an amenable number.
10684357 is a deficient number, since it is larger than the sum of its proper divisors (1).
10684357 is an equidigital number, since it uses as much as digits as its factorization.
10684357 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 20160, while the sum is 34.
The square root of 10684357 is about 3268.6934698745. The cubic root of 10684357 is about 220.2501081175.
The spelling of 10684357 in words is "ten million, six hundred eighty-four thousand, three hundred fifty-seven".
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