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10706634 = 23317107109
BaseRepresentation
bin101000110101…
…111011001010
3202010221202000
4220311323022
510220103014
61021251430
7160001451
oct50657312
922127660
1010706634
116053064
123703b76
1322ab3b3
1415c9b98
15e17509
hexa35eca

10706634 has 64 divisors (see below), whose sum is σ = 25660800. Its totient is φ = 3297024.

The previous prime is 10706627. The next prime is 10706639. The reversal of 10706634 is 43660701.

It is a super-2 number, since 2×107066342 = 229264023219912, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10706598 and 10706607.

It is not an unprimeable number, because it can be changed into a prime (10706639) 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 31 ways as a sum of consecutive naturals, for example, 98172 + ... + 98280.

It is an arithmetic number, because the mean of its divisors is an integer number (400950).

Almost surely, 210706634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10706634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830400).

10706634 is an abundant number, since it is smaller than the sum of its proper divisors (14954166).

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

10706634 is a wasteful number, since it uses less digits than its factorization.

10706634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10706634 is about 3272.0993261208. The cubic root of 10706634 is about 220.4030764731.

The spelling of 10706634 in words is "ten million, seven hundred six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 107 109 153 214 218 306 321 327 459 642 654 918 963 981 1819 1853 1926 1962 2889 2943 3638 3706 5457 5559 5778 5886 10914 11118 11663 16371 16677 23326 32742 33354 34989 49113 50031 69978 98226 100062 104967 198271 209934 314901 396542 594813 629802 1189626 1784439 3568878 5353317 10706634