Base | Representation |
---|---|
bin | 101101010100… |
… | …011001011000 |
3 | 211100120022220 |
4 | 231110121120 |
5 | 11020130044 |
6 | 1102344040 |
7 | 202656432 |
oct | 55243130 |
9 | 24316286 |
10 | 11880024 |
11 | 6784702 |
12 | 3b8b020 |
13 | 25cc500 |
14 | 1813652 |
15 | 109a019 |
hex | b54658 |
11880024 has 96 divisors (see below), whose sum is σ = 33598800. Its totient is φ = 3494400.
The previous prime is 11880023. The next prime is 11880031. The reversal of 11880024 is 42008811.
It is a super-2 number, since 2×118800242 = 282269940481152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 11879976 and 11880003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11880023) 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 23 ways as a sum of consecutive naturals, for example, 117574 + ... + 117674.
Almost surely, 211880024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11880024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799400).
11880024 is an abundant number, since it is smaller than the sum of its proper divisors (21718776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11880024 is a wasteful number, since it uses less digits than its factorization.
11880024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 24.
The square root of 11880024 is about 3446.7410694742. The cubic root of 11880024 is about 228.1773013002.
Adding to 11880024 its reverse (42008811), we get a palindrome (53888835).
The spelling of 11880024 in words is "eleven million, eight hundred eighty thousand, twenty-four".
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