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11393928 = 23327133747
BaseRepresentation
bin101011011101…
…101110001000
3210102212112100
4223131232020
510404101203
61044113400
7165563310
oct53355610
923385470
1011393928
116482477
123995860
13248c190
141728440
151000ea3
hexaddb88

11393928 has 192 divisors, whose sum is σ = 39836160. Its totient is φ = 2861568.

The previous prime is 11393923. The next prime is 11393929. The reversal of 11393928 is 82939311.

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 = 11393892 and 11393901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242401 + ... + 242447.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 211393928 is an apocalyptic number.

11393928 is a gapful number since it is divisible by the number (18) 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 11393928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

11393928 is an abundant number, since it is smaller than the sum of its proper divisors (28442232).

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

11393928 is a wasteful number, since it uses less digits than its factorization.

11393928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

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

The square root of 11393928 is about 3375.4892978648. The cubic root of 11393928 is about 225.0217460463.

It can be divided in two parts, 11393 and 928, that added together give a palindrome (12321).

The spelling of 11393928 in words is "eleven million, three hundred ninety-three thousand, nine hundred twenty-eight".