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11981312 = 2973343
BaseRepresentation
bin101101101101…
…001000000000
3211112201021022
4231231020000
511031400222
61104445012
7203560640
oct55551000
924481238
1011981312
116843812
124019768
132636645
14183c520
1510ba042
hexb6d200

11981312 has 40 divisors (see below), whose sum is σ = 27367296. Its totient is φ = 5133312.

The previous prime is 11981297. The next prime is 11981317. The reversal of 11981312 is 21318911.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11981317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1913 + ... + 5255.

Almost surely, 211981312 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 11981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683648).

11981312 is an abundant number, since it is smaller than the sum of its proper divisors (15385984).

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

11981312 is an frugal number, since it uses more digits than its factorization.

11981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3352 counting only the distinct ones).

The product of its digits is 432, while the sum is 26.

The square root of 11981312 is about 3461.4031836814. The cubic root of 11981312 is about 228.8239399861.

The spelling of 11981312 in words is "eleven million, nine hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3343 3584 6686 13372 23401 26744 46802 53488 93604 106976 187208 213952 374416 427904 748832 855808 1497664 1711616 2995328 5990656 11981312