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10694385 = 32513101181
BaseRepresentation
bin101000110010…
…111011110001
3202010022221100
4220302323301
510214210020
61021115013
7156620652
oct50627361
922108840
1010694385
116044939
1236b8a69
1322a5950
1415c5529
15e13a90
hexa32ef1

10694385 has 48 divisors (see below), whose sum is σ = 20271888. Its totient is φ = 5184000.

The previous prime is 10694381. The next prime is 10694389. The reversal of 10694385 is 58349601.

It is an interprime number because it is at equal distance from previous prime (10694381) and next prime (10694389).

It can be written as a sum of positive squares in 8 ways, for example, as 1016064 + 9678321 = 1008^2 + 3111^2 .

It is not a de Polignac number, because 10694385 - 22 = 10694381 is a prime.

It is a super-2 number, since 2×106943852 = 228739741056450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10694381) 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 47 ways as a sum of consecutive naturals, for example, 58995 + ... + 59175.

It is an arithmetic number, because the mean of its divisors is an integer number (422331).

Almost surely, 210694385 is an apocalyptic number.

10694385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10694385 is a deficient number, since it is larger than the sum of its proper divisors (9577503).

10694385 is a wasteful number, since it uses less digits than its factorization.

10694385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10694385 is about 3270.2270563372. The cubic root of 10694385 is about 220.3189931691.

The spelling of 10694385 in words is "ten million, six hundred ninety-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 181 195 303 505 543 585 905 909 1313 1515 1629 2353 2715 3939 4545 6565 7059 8145 11765 11817 18281 19695 21177 35295 54843 59085 91405 105885 164529 237653 274215 712959 822645 1188265 2138877 3564795 10694385