Search a number
-
+
11480576 = 29171319
BaseRepresentation
bin101011110010…
…111000000000
3210121021101112
4223302320000
510414334301
61050022452
7166404032
oct53627000
923537345
1011480576
116531588
123a17a28
1324bc753
14174bc52
15101b9bb
hexaf2e00

11480576 has 40 divisors (see below), whose sum is σ = 24306480. Its totient is φ = 5398528.

The previous prime is 11480563. The next prime is 11480591. The reversal of 11480576 is 67508411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8045 + ... + 9363.

It is an arithmetic number, because the mean of its divisors is an integer number (607662).

Almost surely, 211480576 is an apocalyptic number.

11480576 is a gapful number since it is divisible by the number (16) 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 11480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153240).

11480576 is an abundant number, since it is smaller than the sum of its proper divisors (12825904).

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

11480576 is an equidigital number, since it uses as much as digits as its factorization.

11480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 11480576 is about 3388.2998686657. The cubic root of 11480576 is about 225.5907177242.

Adding to 11480576 its reverse (67508411), we get a palindrome (78988987).

The spelling of 11480576 in words is "eleven million, four hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 1319 2176 2638 4352 5276 8704 10552 21104 22423 42208 44846 84416 89692 168832 179384 337664 358768 675328 717536 1435072 2870144 5740288 11480576