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10853514 = 234717563
BaseRepresentation
bin101001011001…
…110010001010
3202102102020000
4221121302022
510234303024
61024343430
7161152620
oct51316212
922372200
1010853514
116143451
123774b76
1323301c9
141627510
15e45cc9
hexa59c8a

10853514 has 80 divisors (see below), whose sum is σ = 29481408. Its totient is φ = 2913408.

The previous prime is 10853509. The next prime is 10853593. The reversal of 10853514 is 41535801.

It is a super-2 number, since 2×108535142 = 235597532296392, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 18997 + ... + 19559.

Almost surely, 210853514 is an apocalyptic number.

10853514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10853514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740704).

10853514 is an abundant number, since it is smaller than the sum of its proper divisors (18627894).

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

10853514 is a wasteful number, since it uses less digits than its factorization.

10853514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10853514 is about 3294.4671799853. The cubic root of 10853514 is about 221.4063760915.

The spelling of 10853514 in words is "ten million, eight hundred fifty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 563 567 714 918 1071 1126 1134 1377 1689 2142 2754 3213 3378 3941 5067 6426 7882 9571 9639 10134 11823 15201 19142 19278 23646 28713 30402 35469 45603 57426 66997 70938 86139 91206 106407 133994 172278 200991 212814 258417 319221 401982 516834 602973 638442 775251 1205946 1550502 1808919 3617838 5426757 10853514