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11894328 = 233231732
BaseRepresentation
bin101101010111…
…111000111000
3211101021221200
4231113320320
511021104303
61102534200
7203046225
oct55277070
924337850
1011894328
116794426
123b97360
132605b84
14181894c
15109e3a3
hexb57e38

11894328 has 72 divisors (see below), whose sum is σ = 33714720. Its totient is φ = 3784320.

The previous prime is 11894327. The next prime is 11894347. The reversal of 11894328 is 82349811.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 11894292 and 11894301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11894327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 162900 + ... + 162972.

It is an arithmetic number, because the mean of its divisors is an integer number (468260).

Almost surely, 211894328 is an apocalyptic number.

11894328 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 11894328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857360).

11894328 is an abundant number, since it is smaller than the sum of its proper divisors (21820392).

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

11894328 is a wasteful number, since it uses less digits than its factorization.

11894328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 109 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11894328 is about 3448.8154488172. The cubic root of 11894328 is about 228.2688426153.

The spelling of 11894328 in words is "eleven million, eight hundred ninety-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 73 93 124 146 186 219 248 279 292 372 438 558 584 657 744 876 1116 1314 1752 2232 2263 2628 4526 5256 5329 6789 9052 10658 13578 15987 18104 20367 21316 27156 31974 40734 42632 47961 54312 63948 81468 95922 127896 162936 165199 191844 330398 383688 495597 660796 991194 1321592 1486791 1982388 2973582 3964776 5947164 11894328