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11480364 = 2232745557
BaseRepresentation
bin101011110010…
…110100101100
3210121021002200
4223302310230
510414332424
61050021500
7166403310
oct53626454
923537080
1011480364
116531405
123a17890
1324bc61c
14174bb40
15101b8c9
hexaf2d2c

11480364 has 36 divisors (see below), whose sum is σ = 33166224. Its totient is φ = 3280032.

The previous prime is 11480363. The next prime is 11480407. The reversal of 11480364 is 46308411.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11480363) 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 11 ways as a sum of consecutive naturals, for example, 22527 + ... + 23030.

It is an arithmetic number, because the mean of its divisors is an integer number (921284).

Almost surely, 211480364 is an apocalyptic number.

11480364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11480364 is an abundant number, since it is smaller than the sum of its proper divisors (21685860).

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

11480364 is a wasteful number, since it uses less digits than its factorization.

11480364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45574 (or 45569 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11480364 is about 3388.2685843953. The cubic root of 11480364 is about 225.5893291316.

Adding to 11480364 its reverse (46308411), we get a palindrome (57788775).

The spelling of 11480364 in words is "eleven million, four hundred eighty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 45557 91114 136671 182228 273342 318899 410013 546684 637798 820026 956697 1275596 1640052 1913394 2870091 3826788 5740182 11480364