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11014416 = 243273223
BaseRepresentation
bin101010000001…
…000100010000
3202201120221100
4222001010100
510304430131
61032024400
7162423000
oct52010420
922646840
1011014416
116243326
123832100
13238850a
14166a000
15e787e6
hexa81110

11014416 has 120 divisors (see below), whose sum is σ = 36108800. Its totient is φ = 3132864.

The previous prime is 11014379. The next prime is 11014429. The reversal of 11014416 is 61441011.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49281 + ... + 49503.

Almost surely, 211014416 is an apocalyptic number.

11014416 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 11014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054400).

11014416 is an abundant number, since it is smaller than the sum of its proper divisors (25094384).

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

11014416 is a wasteful number, since it uses less digits than its factorization.

11014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11014416 is about 3318.7973725433. The cubic root of 11014416 is about 222.4951208794.

Adding to 11014416 its reverse (61441011), we get a palindrome (72455427).

The spelling of 11014416 in words is "eleven million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 223 252 294 336 343 392 441 446 504 588 669 686 784 882 892 1008 1029 1176 1338 1372 1561 1764 1784 2007 2058 2352 2676 2744 3087 3122 3528 3568 4014 4116 4683 5352 5488 6174 6244 7056 8028 8232 9366 10704 10927 12348 12488 14049 16056 16464 18732 21854 24696 24976 28098 32112 32781 37464 43708 49392 56196 65562 74928 76489 87416 98343 112392 131124 152978 174832 196686 224784 229467 262248 305956 393372 458934 524496 611912 688401 786744 917868 1223824 1376802 1573488 1835736 2753604 3671472 5507208 11014416