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11921856 = 263312003
BaseRepresentation
bin101101011110…
…100111000000
3211102200201020
4231132213000
511022444411
61103305440
7203222412
oct55364700
924380636
1011921856
116803081
123bab280
13261556b
1418249b2
1510a7606
hexb5e9c0

11921856 has 56 divisors (see below), whose sum is σ = 32577024. Its totient is φ = 3843840.

The previous prime is 11921851. The next prime is 11921867. The reversal of 11921856 is 65812911.

11921856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11921851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4951 + ... + 6953.

Almost surely, 211921856 is an apocalyptic number.

11921856 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 11921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288512).

11921856 is an abundant number, since it is smaller than the sum of its proper divisors (20655168).

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

11921856 is a wasteful number, since it uses less digits than its factorization.

11921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 11921856 is about 3452.8040778475. The cubic root of 11921856 is about 228.4448072497. Note that the first 3 decimals are identical.

The spelling of 11921856 in words is "eleven million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2003 2976 4006 5952 6009 8012 12018 16024 24036 32048 48072 62093 64096 96144 124186 128192 186279 192288 248372 372558 384576 496744 745116 993488 1490232 1986976 2980464 3973952 5960928 11921856