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11939112 = 2332792099
BaseRepresentation
bin101101100010…
…110100101000
3211110120101100
4231202310220
511024022422
61103521400
7203323623
oct55426450
924416340
1011939112
116815039
123bb9260
132620383
14182adba
1510ac7ac
hexb62d28

11939112 has 48 divisors (see below), whose sum is σ = 32760000. Its totient is φ = 3927456.

The previous prime is 11939111. The next prime is 11939113. The reversal of 11939112 is 21193911.

It is an interprime number because it is at equal distance from previous prime (11939111) and next prime (11939113).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11939111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4639 + ... + 6737.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 211939112 is an apocalyptic number.

11939112 is a gapful number since it is divisible by the number (12) 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 11939112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380000).

11939112 is an abundant number, since it is smaller than the sum of its proper divisors (20820888).

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

11939112 is a wasteful number, since it uses less digits than its factorization.

11939112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 11939112 is about 3455.3020128492. The cubic root of 11939112 is about 228.5549730713.

The spelling of 11939112 in words is "eleven million, nine hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2099 2844 4198 5688 6297 8396 12594 16792 18891 25188 37782 50376 75564 151128 165821 331642 497463 663284 994926 1326568 1492389 1989852 2984778 3979704 5969556 11939112