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10705770 = 234513217
BaseRepresentation
bin101000110101…
…101101101010
3202010220120000
4220311231222
510220041040
61021243430
7156666105
oct50655552
922126500
1010705770
116052449
123703576
1322aab9a
1415c973c
15e17130
hexa35b6a

10705770 has 40 divisors (see below), whose sum is σ = 28788804. Its totient is φ = 2854656.

The previous prime is 10705769. The next prime is 10705771. The reversal of 10705770 is 7750701.

It is an interprime number because it is at equal distance from previous prime (10705769) and next prime (10705771).

It can be written as a sum of positive squares in 2 ways, for example, as 10556001 + 149769 = 3249^2 + 387^2 .

It is a super-2 number, since 2×107057702 = 229227022585800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10705771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5799 + ... + 7418.

Almost surely, 210705770 is an apocalyptic number.

10705770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10705770 is an abundant number, since it is smaller than the sum of its proper divisors (18083034).

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

10705770 is a wasteful number, since it uses less digits than its factorization.

10705770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 10705770 is about 3271.9672981251. The cubic root of 10705770 is about 220.3971476449.

The spelling of 10705770 in words is "ten million, seven hundred five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 13217 26434 39651 66085 79302 118953 132170 198255 237906 356859 396510 594765 713718 1070577 1189530 1784295 2141154 3568590 5352885 10705770