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11981928 = 233773977
BaseRepresentation
bin101101101101…
…010001101000
3211112202010010
4231231101220
511031410203
61104451520
7203562510
oct55552150
924482103
1011981928
116844222
124019ba0
1326369ca
14183c840
1510ba303
hexb6d468

11981928 has 64 divisors (see below), whose sum is σ = 34738560. Its totient is φ = 3373056.

The previous prime is 11981917. The next prime is 11981929. The reversal of 11981928 is 82918911.

11981928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11981929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11776 + ... + 12752.

It is an arithmetic number, because the mean of its divisors is an integer number (542790).

Almost surely, 211981928 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 11981928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369280).

11981928 is an abundant number, since it is smaller than the sum of its proper divisors (22756632).

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

11981928 is a wasteful number, since it uses less digits than its factorization.

11981928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its digits is 10368, while the sum is 39.

The square root of 11981928 is about 3461.4921637930. The cubic root of 11981928 is about 228.8278614579.

The spelling of 11981928 in words is "eleven million, nine hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 977 1022 1533 1752 1954 2044 2931 3066 3908 4088 5862 6132 6839 7816 11724 12264 13678 20517 23448 27356 41034 54712 71321 82068 142642 164136 213963 285284 427926 499247 570568 855852 998494 1497741 1711704 1996988 2995482 3993976 5990964 11981928