Search a number
-
+
10705461 = 3131767241
BaseRepresentation
bin101000110101…
…101000110101
3202010220010120
4220311220311
510220033321
61021242153
7156665154
oct50655065
922126116
1010705461
116052198
123703359
1322aa9c0
1415c959b
15e16ec6
hexa35a35

10705461 has 32 divisors (see below), whose sum is σ = 16587648. Its totient is φ = 6082560.

The previous prime is 10705459. The next prime is 10705463. The reversal of 10705461 is 16450701.

10705461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10705459) and next prime (10705463).

It is not a de Polignac number, because 10705461 - 21 = 10705459 is a prime.

It is a super-2 number, since 2×107054612 = 229213790445042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705463) 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, 44301 + ... + 44541.

It is an arithmetic number, because the mean of its divisors is an integer number (518364).

Almost surely, 210705461 is an apocalyptic number.

It is an amenable number.

10705461 is a deficient number, since it is larger than the sum of its proper divisors (5882187).

10705461 is a wasteful number, since it uses less digits than its factorization.

10705461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10705461 is about 3271.9200784860. The cubic root of 10705461 is about 220.3950271879.

The spelling of 10705461 in words is "ten million, seven hundred five thousand, four hundred sixty-one".

Divisors: 1 3 13 17 39 51 67 201 221 241 663 723 871 1139 2613 3133 3417 4097 9399 12291 14807 16147 44421 48441 53261 159783 209911 274499 629733 823497 3568487 10705461