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11028416 = 267103239
BaseRepresentation
bin101010000100…
…011111000000
3202202022010212
4222010133000
510310402131
61032213252
7162511550
oct52043700
922668125
1011028416
1162528a3
12383a228
1323919b9
141671160
15e7ca2b
hexa847c0

11028416 has 56 divisors (see below), whose sum is σ = 25359360. Its totient is φ = 4660992.

The previous prime is 11028397. The next prime is 11028419. The reversal of 11028416 is 61482011.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 11028391 and 11028400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11028419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46025 + ... + 46263.

Almost surely, 211028416 is an apocalyptic number.

11028416 is a gapful number since it is divisible by the number (16) 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 11028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679680).

11028416 is an abundant number, since it is smaller than the sum of its proper divisors (14330944).

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

11028416 is a wasteful number, since it uses less digits than its factorization.

11028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11028416 is about 3320.9059005037. The cubic root of 11028416 is about 222.5893492939.

The spelling of 11028416 in words is "eleven million, twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 239 412 448 478 721 824 956 1442 1648 1673 1912 2884 3296 3346 3824 5768 6592 6692 7648 11536 13384 15296 23072 24617 26768 46144 49234 53536 98468 107072 172319 196936 344638 393872 689276 787744 1378552 1575488 2757104 5514208 11028416