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11330432 = 271741127
BaseRepresentation
bin101011001110…
…001110000000
3210022122102122
4223032032000
510400033212
61042503412
7165210221
oct53161600
923278378
1011330432
1164397a3
123964b68
1324692c9
14170d248
15edc272
hexace380

11330432 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 5160960.

The previous prime is 11330411. The next prime is 11330447. The reversal of 11330432 is 23403311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11330432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89153 + ... + 89279.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 211330432 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 11330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

11330432 is an abundant number, since it is smaller than the sum of its proper divisors (13345408).

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

11330432 is a wasteful number, since it uses less digits than its factorization.

11330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 11330432 is about 3366.0707063281. The cubic root of 11330432 is about 224.6029673020.

Adding to 11330432 its reverse (23403311), we get a palindrome (34733743).

The spelling of 11330432 in words is "eleven million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 127 128 136 164 254 272 328 508 544 656 697 1016 1088 1312 1394 2032 2159 2176 2624 2788 4064 4318 5207 5248 5576 8128 8636 10414 11152 16256 17272 20828 22304 34544 41656 44608 69088 83312 88519 89216 138176 166624 177038 276352 333248 354076 666496 708152 1416304 2832608 5665216 11330432