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10755018 = 234197337
BaseRepresentation
bin101001000001…
…101111001010
3202020102010000
4221001233022
510223130033
61022303430
7160262511
oct51015712
922212100
1010755018
11608644a
123727b76
1322c7421
1415dd678
15e26a13
hexa41bca

10755018 has 40 divisors (see below), whose sum is σ = 24293412. Its totient is φ = 3556224.

The previous prime is 10755013. The next prime is 10755029. The reversal of 10755018 is 81055701.

10755018 is a `hidden beast` number, since 107 + 550 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10323369 + 431649 = 3213^2 + 657^2 .

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 = 10754982 and 10755000.

It is not an unprimeable number, because it can be changed into a prime (10755011) 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 19 ways as a sum of consecutive naturals, for example, 31746 + ... + 32082.

Almost surely, 210755018 is an apocalyptic number.

10755018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146706).

10755018 is an abundant number, since it is smaller than the sum of its proper divisors (13538394).

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

10755018 is a wasteful number, since it uses less digits than its factorization.

10755018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 10755018 is about 3279.4844106963. The cubic root of 10755018 is about 220.7345830545.

The spelling of 10755018 in words is "ten million, seven hundred fifty-five thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 337 394 591 674 1011 1182 1773 2022 3033 3546 5319 6066 9099 10638 15957 18198 27297 31914 54594 66389 132778 199167 398334 597501 1195002 1792503 3585006 5377509 10755018