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11016816 = 2431723587
BaseRepresentation
bin101010000001…
…101001110000
3202201201020020
4222001221300
510310014231
61032043440
7162432666
oct52015160
922651206
1011016816
116245108
123833580
132389635
14166ac36
15e79396
hexa81a70

11016816 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3300352.

The previous prime is 11016779. The next prime is 11016829. The reversal of 11016816 is 61861011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18475 + ... + 19061.

Almost surely, 211016816 is an apocalyptic number.

11016816 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 11016816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

11016816 is an abundant number, since it is smaller than the sum of its proper divisors (20481168).

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

11016816 is a wasteful number, since it uses less digits than its factorization.

11016816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11016816 is about 3319.1589296085. The cubic root of 11016816 is about 222.5112799904.

Adding to 11016816 its reverse (61861011), we get a palindrome (72877827).

The spelling of 11016816 in words is "eleven million, sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 587 782 816 1104 1173 1174 1564 1761 2346 2348 3128 3522 4692 4696 6256 7044 9384 9392 9979 13501 14088 18768 19958 27002 28176 29937 39916 40503 54004 59874 79832 81006 108008 119748 159664 162012 216016 229517 239496 324024 459034 478992 648048 688551 918068 1377102 1836136 2754204 3672272 5508408 11016816