Base | Representation |
---|---|
bin | 101001110101… |
… | …011110010100 |
3 | 202122011210200 |
4 | 221311132110 |
5 | 10301420212 |
6 | 1031020500 |
7 | 162134364 |
oct | 51653624 |
9 | 22564720 |
10 | 10966932 |
11 | 6210689 |
12 | 380a730 |
13 | 236ca12 |
14 | 16569a4 |
15 | e696dc |
hex | a75794 |
10966932 has 54 divisors (see below), whose sum is σ = 28735434. Its totient is φ = 3526560.
The previous prime is 10966913. The next prime is 10966937. The reversal of 10966932 is 23966901.
It can be written as a sum of positive squares in only one way, i.e., 6780816 + 4186116 = 2604^2 + 2046^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10966937) 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 17 ways as a sum of consecutive naturals, for example, 34438 + ... + 34754.
Almost surely, 210966932 is an apocalyptic number.
10966932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10966932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367717).
10966932 is an abundant number, since it is smaller than the sum of its proper divisors (17768502).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10966932 is a wasteful number, since it uses less digits than its factorization.
10966932 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 389 (or 353 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 36.
The square root of 10966932 is about 3311.6358495463. The cubic root of 10966932 is about 222.1749290840.
The spelling of 10966932 in words is "ten million, nine hundred sixty-six thousand, nine hundred thirty-two".
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