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10705460 = 225535273
BaseRepresentation
bin101000110101…
…101000110100
3202010220010112
4220311220310
510220033320
61021242152
7156665153
oct50655064
922126115
1010705460
116052197
123703358
1322aa9bc
1415c959a
15e16ec5
hexa35a34

10705460 has 12 divisors (see below), whose sum is σ = 22481508. Its totient is φ = 4282176.

The previous prime is 10705459. The next prime is 10705463. The reversal of 10705460 is 6450701.

It can be written as a sum of positive squares in 2 ways, for example, as 7118224 + 3587236 = 2668^2 + 1894^2 .

It is a super-2 number, since 2×107054602 = 229213747623200, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267617 + ... + 267656.

It is an arithmetic number, because the mean of its divisors is an integer number (1873459).

Almost surely, 210705460 is an apocalyptic number.

10705460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705460 is an abundant number, since it is smaller than the sum of its proper divisors (11776048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10705460 is a wasteful number, since it uses less digits than its factorization.

10705460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535282 (or 535280 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10705460 is about 3271.9199256706. The cubic root of 10705460 is about 220.3950203255.

The spelling of 10705460 in words is "ten million, seven hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 535273 1070546 2141092 2676365 5352730 10705460