| Base | Representation |
|---|---|
| bin | 101101011000… |
| … | …011001100000 |
| 3 | 211101101211000 |
| 4 | 231120121200 |
| 5 | 11021141131 |
| 6 | 1102552000 |
| 7 | 203055300 |
| oct | 55303140 |
| 9 | 24341730 |
| 10 | 11896416 |
| 11 | 6795a54 |
| 12 | 3b98600 |
| 13 | 2606acc |
| 14 | 1819600 |
| 15 | 109ece6 |
| hex | b58660 |
11896416 has 144 divisors (see below), whose sum is σ = 40506480. Its totient is φ = 3386880.
The previous prime is 11896411. The next prime is 11896421. The reversal of 11896416 is 61469811.
It is a happy number.
11896416 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 641 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (11896411) and next prime (11896421).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11896411) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42196 + ... + 42476.
It is an arithmetic number, because the mean of its divisors is an integer number (281295).
Almost surely, 211896416 is an apocalyptic number.
11896416 is a gapful number since it is divisible by the number (16) 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 11896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253240).
11896416 is an abundant number, since it is smaller than the sum of its proper divisors (28610064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11896416 is a wasteful number, since it uses less digits than its factorization.
11896416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 314 (or 293 counting only the distinct ones).
The product of its digits is 10368, while the sum is 36.
The square root of 11896416 is about 3449.1181481648. The cubic root of 11896416 is about 228.2821990503.
The spelling of 11896416 in words is "eleven million, eight hundred ninety-six thousand, four hundred sixteen".
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