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11940256 = 251747467
BaseRepresentation
bin101101100011…
…000110100000
3211110121221201
4231203012200
511024042011
61103530544
7203330146
oct55430640
924417851
1011940256
116815989
123bb9a54
132620a53
14182b596
1510accc1
hexb631a0

11940256 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 5487616.

The previous prime is 11940251. The next prime is 11940259. The reversal of 11940256 is 65204911.

11940256 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (11940251) 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, 25335 + ... + 25801.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 211940256 is an apocalyptic number.

11940256 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 11940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

11940256 is an abundant number, since it is smaller than the sum of its proper divisors (13533920).

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

11940256 is a wasteful number, since it uses less digits than its factorization.

11940256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 11940256 is about 3455.4675515768. The cubic root of 11940256 is about 228.5622728475.

The spelling of 11940256 in words is "eleven million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 467 544 752 799 934 1504 1598 1868 3196 3736 6392 7472 7939 12784 14944 15878 21949 25568 31756 43898 63512 87796 127024 175592 254048 351184 373133 702368 746266 1492532 2985064 5970128 11940256