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11350480 = 245532677
BaseRepresentation
bin101011010011…
…000111010000
3210100122221011
4223103013100
510401203410
61043140304
7165322531
oct53230720
923318834
1011350480
116452869
123974694
13247547b
141716688
15ee318a
hexad31d0

11350480 has 40 divisors (see below), whose sum is σ = 26897832. Its totient is φ = 4452864.

The previous prime is 11350463. The next prime is 11350501. The reversal of 11350480 is 8405311.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 11209104 = 376^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2902 + ... + 5578.

Almost surely, 211350480 is an apocalyptic number.

11350480 is a gapful number since it is divisible by the number (10) 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 11350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448916).

11350480 is an abundant number, since it is smaller than the sum of its proper divisors (15547352).

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

11350480 is a wasteful number, since it uses less digits than its factorization.

11350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11350480 is about 3369.0473430927. The cubic root of 11350480 is about 224.7353596394.

Adding to 11350480 its reverse (8405311), we get a palindrome (19755791).

The spelling of 11350480 in words is "eleven million, three hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2677 4240 5354 10708 13385 21416 26770 42832 53540 107080 141881 214160 283762 567524 709405 1135048 1418810 2270096 2837620 5675240 11350480