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11393312 = 257192677
BaseRepresentation
bin101011011101…
…100100100000
3210102211200112
4223131210200
510404041222
61044110452
7165561440
oct53354440
923384615
1011393312
116481a67
123995428
13248bb08
141728120
151000be2
hexadd920

11393312 has 48 divisors (see below), whose sum is σ = 26994240. Its totient is φ = 4624128.

The previous prime is 11393311. The next prime is 11393359. The reversal of 11393312 is 21339311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393311) 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 7 ways as a sum of consecutive naturals, for example, 2918 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (562380).

Almost surely, 211393312 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 11393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497120).

11393312 is an abundant number, since it is smaller than the sum of its proper divisors (15600928).

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

11393312 is a wasteful number, since it uses less digits than its factorization.

11393312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2705 counting only the distinct ones).

The product of its digits is 486, while the sum is 23.

The square root of 11393312 is about 3375.3980506008. The cubic root of 11393312 is about 225.0176907901.

The spelling of 11393312 in words is "eleven million, three hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2677 4256 5354 10708 18739 21416 37478 42832 50863 74956 85664 101726 149912 203452 299824 356041 406904 599648 712082 813808 1424164 1627616 2848328 5696656 11393312