Base | Representation |
---|---|
bin | 101101100111… |
… | …000000000000 |
3 | 211111102212010 |
4 | 231213000000 |
5 | 11030044344 |
6 | 1104132520 |
7 | 203424540 |
oct | 55470000 |
9 | 24442763 |
10 | 11956224 |
11 | 6826985 |
12 | 4007140 |
13 | 26280b7 |
14 | 1833320 |
15 | 10b28b9 |
hex | b67000 |
11956224 has 104 divisors (see below), whose sum is σ = 36695680. Its totient is φ = 3391488.
The previous prime is 11956201. The next prime is 11956247. The reversal of 11956224 is 42265911.
It is an interprime number because it is at equal distance from previous prime (11956201) and next prime (11956247).
It is a junction number, because it is equal to n+sod(n) for n = 11956191 and 11956200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85947 + ... + 86085.
Almost surely, 211956224 is an apocalyptic number.
11956224 is a gapful number since it is divisible by the number (14) 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 11956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347840).
11956224 is an abundant number, since it is smaller than the sum of its proper divisors (24739456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11956224 is an equidigital number, since it uses as much as digits as its factorization.
11956224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 173 (or 151 counting only the distinct ones).
The product of its digits is 4320, while the sum is 30.
The square root of 11956224 is about 3457.7773207655. Note that the first 3 decimals coincide. The cubic root of 11956224 is about 228.6641147914.
The spelling of 11956224 in words is "eleven million, nine hundred fifty-six thousand, two hundred twenty-four".
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