Search a number
-
+
10705219 = 72775521
BaseRepresentation
bin101000110101…
…100101000011
3202010212210121
4220311211003
510220031334
61021241111
7156664360
oct50654503
922125717
1010705219
116051a98
123703197
1322aa865
1415c9467
15e16db4
hexa35943

10705219 has 8 divisors (see below), whose sum is σ = 12280928. Its totient is φ = 9141120.

The previous prime is 10705213. The next prime is 10705241. The reversal of 10705219 is 91250701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10705219 is a prime.

It is a super-3 number, since 3×107052193 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10705193 and 10705202.

It is not an unprimeable number, because it can be changed into a prime (10705213) 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 in 7 ways as a sum of consecutive naturals, for example, 822 + ... + 4699.

It is an arithmetic number, because the mean of its divisors is an integer number (1535116).

Almost surely, 210705219 is an apocalyptic number.

10705219 is a deficient number, since it is larger than the sum of its proper divisors (1575709).

10705219 is an equidigital number, since it uses as much as digits as its factorization.

10705219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 10705219 is about 3271.8830969336. The cubic root of 10705219 is about 220.3933664779.

The spelling of 10705219 in words is "ten million, seven hundred five thousand, two hundred nineteen".

Divisors: 1 7 277 1939 5521 38647 1529317 10705219