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11033424 = 2432193397
BaseRepresentation
bin101010000101…
…101101010000
3202202120000100
4222011231100
510311032144
61032252400
7162532263
oct52055520
922676010
1011033424
116256636
123841100
13239406c
141672cda
15e7e269
hexa85b50

11033424 has 60 divisors (see below), whose sum is σ = 31116436. Its totient is φ = 3649536.

The previous prime is 11033423. The next prime is 11033431. The reversal of 11033424 is 42433011.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 6051600 = 2232^2 + 2460^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11033397 and 11033406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27594 + ... + 27990.

Almost surely, 211033424 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 11033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15558218).

11033424 is an abundant number, since it is smaller than the sum of its proper divisors (20083012).

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

11033424 is a wasteful number, since it uses less digits than its factorization.

11033424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 11033424 is about 3321.6598260508. The cubic root of 11033424 is about 222.6230367781.

Adding to 11033424 its reverse (42433011), we get a palindrome (53466435).

The spelling of 11033424 in words is "eleven million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 397 579 772 794 1158 1191 1544 1588 1737 2316 2382 3088 3176 3474 3573 4632 4764 6352 6948 7146 9264 9528 13896 14292 19056 27792 28584 57168 76621 153242 229863 306484 459726 612968 689589 919452 1225936 1379178 1838904 2758356 3677808 5516712 11033424