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11480456 = 2313591871
BaseRepresentation
bin101011110010…
…110110001000
3210121021020002
4223302312020
510414333311
61050022132
7166403501
oct53626610
923537202
1011480456
116531489
123a17948
1324bc690
14174bba8
15101b93b
hexaf2d88

11480456 has 32 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 5206080.

The previous prime is 11480449. The next prime is 11480459. The reversal of 11480456 is 65408411.

11480456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11480459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5201 + ... + 7071.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 211480456 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 11480456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

11480456 is an abundant number, since it is smaller than the sum of its proper divisors (12106744).

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

11480456 is a wasteful number, since it uses less digits than its factorization.

11480456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 11480456 is about 3388.2821606236. The cubic root of 11480456 is about 225.5899317305.

Adding to 11480456 its reverse (65408411), we get a palindrome (76888867).

The spelling of 11480456 in words is "eleven million, four hundred eighty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 767 1534 1871 3068 3742 6136 7484 14968 24323 48646 97292 110389 194584 220778 441556 883112 1435057 2870114 5740228 11480456