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BaseRepresentation
bin101101100001…
…011111110000
3211110021221011
4231201133300
511023334210
61103440304
7203302033
oct55413760
924407834
1011933680
116810a50
123bb6094
13261aa65
14182901a
hexb617f0

11933680 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 4256000.

The previous prime is 11933671. The next prime is 11933687. The reversal of 11933680 is 8633911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933687) 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 15 ways as a sum of consecutive naturals, for example, 62385 + ... + 62575.

Almost surely, 211933680 is an apocalyptic number.

11933680 is a gapful number since it is divisible by the number (10) 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 11933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

11933680 is an abundant number, since it is smaller than the sum of its proper divisors (18921488).

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

11933680 is a wasteful number, since it uses less digits than its factorization.

11933680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 11933680 is about 3454.5158850409. The cubic root of 11933680 is about 228.5203055308.

The spelling of 11933680 in words is "eleven million, nine hundred thirty-three thousand, six hundred eighty".