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11480128 = 261123709
BaseRepresentation
bin101011110010…
…110001000000
3210121020202221
4223302301000
510414331003
61050020424
7166402522
oct53626100
923536687
1011480128
116531210
123a17714
1324bc49a
14174ba12
15101b7bd
hexaf2c40

11480128 has 56 divisors (see below), whose sum is σ = 25968960. Its totient is φ = 4984320.

The previous prime is 11480099. The next prime is 11480141. The reversal of 11480128 is 82108411.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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, 15838 + ... + 16546.

Almost surely, 211480128 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 11480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984480).

11480128 is an abundant number, since it is smaller than the sum of its proper divisors (14488832).

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

11480128 is a wasteful number, since it uses less digits than its factorization.

11480128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 11480128 is about 3388.2337581696. The cubic root of 11480128 is about 225.5877833198.

Adding to 11480128 its reverse (82108411), we get a palindrome (93588539).

The spelling of 11480128 in words is "eleven million, four hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 709 736 1012 1418 1472 2024 2836 4048 5672 7799 8096 11344 15598 16192 16307 22688 31196 32614 45376 62392 65228 124784 130456 179377 249568 260912 358754 499136 521824 717508 1043648 1435016 2870032 5740064 11480128