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11933928 = 2332165749
BaseRepresentation
bin101101100001…
…100011101000
3211110022021100
4231201203220
511023341203
61103441400
7203302536
oct55414350
924408240
1011933928
116811156
123bb6260
13261abc6
141829156
1510aaea3
hexb618e8

11933928 has 24 divisors (see below), whose sum is σ = 32321250. Its totient is φ = 3977952.

The previous prime is 11933927. The next prime is 11933939. The reversal of 11933928 is 82933911.

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 5673924 = 2502^2 + 2382^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11933892 and 11933901.

It is not an unprimeable number, because it can be changed into a prime (11933923) 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 5 ways as a sum of consecutive naturals, for example, 82803 + ... + 82946.

Almost surely, 211933928 is an apocalyptic number.

11933928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11933928 is an abundant number, since it is smaller than the sum of its proper divisors (20387322).

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

11933928 is a wasteful number, since it uses less digits than its factorization.

11933928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165761 (or 165754 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 11933928 is about 3454.5517798985. The cubic root of 11933928 is about 228.5218885195.

The spelling of 11933928 in words is "eleven million, nine hundred thirty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 165749 331498 497247 662996 994494 1325992 1491741 1988988 2983482 3977976 5966964 11933928