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11078016 = 273171697
BaseRepresentation
bin101010010000…
…100110000000
3202211211011220
4222100212000
510313444031
61033235040
7163106265
oct52204600
922754156
1011078016
116287094
123862a80
1323ab451
14168526c
15e8c596
hexa90980

11078016 has 64 divisors (see below), whose sum is σ = 31175280. Its totient is φ = 3473408.

The previous prime is 11078003. The next prime is 11078021. The reversal of 11078016 is 61087011.

It is a tau number, because it is divible by the number of its divisors (64).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5680 + ... + 7376.

Almost surely, 211078016 is an apocalyptic number.

11078016 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 11078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587640).

11078016 is an abundant number, since it is smaller than the sum of its proper divisors (20097264).

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

11078016 is a wasteful number, since it uses less digits than its factorization.

11078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 11078016 is about 3328.3653645596. The cubic root of 11078016 is about 222.9225467845.

The spelling of 11078016 in words is "eleven million, seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 1697 2176 3264 3394 5091 6528 6788 10182 13576 20364 27152 28849 40728 54304 57698 81456 86547 108608 115396 162912 173094 217216 230792 325824 346188 461584 651648 692376 923168 1384752 1846336 2769504 3692672 5539008 11078016