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11862216 = 2332672459
BaseRepresentation
bin101101010000…
…000011001000
3211022122220100
4231100003020
511014042331
61102125400
7202553502
oct55200310
924278810
1011862216
116772293
123b80860
1325c4382
14180ad72
151094ae6
hexb500c8

11862216 has 48 divisors (see below), whose sum is σ = 32619600. Its totient is φ = 3893472.

The previous prime is 11862203. The next prime is 11862217. The reversal of 11862216 is 61226811.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11862216.

It is not an unprimeable number, because it can be changed into a prime (11862217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3595 + ... + 6053.

It is an arithmetic number, because the mean of its divisors is an integer number (679575).

Almost surely, 211862216 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 11862216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309800).

11862216 is an abundant number, since it is smaller than the sum of its proper divisors (20757384).

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

11862216 is a wasteful number, since it uses less digits than its factorization.

11862216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2531 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11862216 is about 3444.1567908561. The cubic root of 11862216 is about 228.0632326925.

The spelling of 11862216 in words is "eleven million, eight hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 2459 4824 4918 7377 9836 14754 19672 22131 29508 44262 59016 88524 164753 177048 329506 494259 659012 988518 1318024 1482777 1977036 2965554 3954072 5931108 11862216