Search a number
-
+
11029480 = 2357113581
BaseRepresentation
bin101010000100…
…101111101000
3202202100121021
4222010233220
510310420410
61032222224
7162514630
oct52045750
922670537
1011029480
116253680
12383a974
132392327
1416716c0
15e7ceda
hexa84be8

11029480 has 64 divisors (see below), whose sum is σ = 30948480. Its totient is φ = 3436800.

The previous prime is 11029423. The next prime is 11029507. The reversal of 11029480 is 8492011.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 4870.

It is an arithmetic number, because the mean of its divisors is an integer number (483570).

Almost surely, 211029480 is an apocalyptic number.

11029480 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 11029480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474240).

11029480 is an abundant number, since it is smaller than the sum of its proper divisors (19919000).

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

11029480 is a wasteful number, since it uses less digits than its factorization.

11029480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11029480 is about 3321.0660938921. The cubic root of 11029480 is about 222.5965073920.

The spelling of 11029480 in words is "eleven million, twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3581 7162 14324 17905 25067 28648 35810 39391 50134 71620 78782 100268 125335 143240 157564 196955 200536 250670 275737 315128 393910 501340 551474 787820 1002680 1102948 1378685 1575640 2205896 2757370 5514740 11029480