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11328824 = 2313971123
BaseRepresentation
bin101011001101…
…110100111000
3210022120020002
4223031310320
510400010244
61042452132
7165202433
oct53156470
923276202
1011328824
116438571
123964048
132468660
14170c81a
15edba4e
hexacdd38

11328824 has 32 divisors (see below), whose sum is σ = 23131920. Its totient is φ = 5170176.

The previous prime is 11328809. The next prime is 11328827. The reversal of 11328824 is 42882311.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11328827) 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 7 ways as a sum of consecutive naturals, for example, 9527 + ... + 10649.

Almost surely, 211328824 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 11328824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565960).

11328824 is an abundant number, since it is smaller than the sum of its proper divisors (11803096).

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

11328824 is a wasteful number, since it uses less digits than its factorization.

11328824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1235 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 11328824 is about 3365.8318436904. The cubic root of 11328824 is about 224.5923416801.

The spelling of 11328824 in words is "eleven million, three hundred twenty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1123 1261 2246 2522 4492 5044 8984 10088 14599 29198 58396 108931 116792 217862 435724 871448 1416103 2832206 5664412 11328824