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11045328 = 243771463
BaseRepresentation
bin101010001000…
…100111010000
3202210011100020
4222020213100
510311422303
61032423440
7162612060
oct52104720
922704306
1011045328
116264578
123847b80
1323995c8
1416773a0
15e82a53
hexa889d0

11045328 has 80 divisors (see below), whose sum is σ = 33140736. Its totient is φ = 3104640.

The previous prime is 11045323. The next prime is 11045341. The reversal of 11045328 is 82354011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11045298 and 11045307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11045323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23625 + ... + 24087.

Almost surely, 211045328 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 11045328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570368).

11045328 is an abundant number, since it is smaller than the sum of its proper divisors (22095408).

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

11045328 is a wasteful number, since it uses less digits than its factorization.

11045328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 11045328 is about 3323.4512182368. The cubic root of 11045328 is about 222.7030709280.

Adding to 11045328 its reverse (82354011), we get a palindrome (93399339).

The spelling of 11045328 in words is "eleven million, forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 463 497 568 852 926 994 1136 1389 1491 1704 1852 1988 2778 2982 3241 3408 3704 3976 5556 5964 6482 7408 7952 9723 11112 11928 12964 19446 22224 23856 25928 32873 38892 51856 65746 77784 98619 131492 155568 197238 230111 262984 394476 460222 525968 690333 788952 920444 1380666 1577904 1840888 2761332 3681776 5522664 11045328