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11073760 = 255671033
BaseRepresentation
bin101010001111…
…100011100000
3202211121100021
4222033203200
510313330020
61033203224
7163061005
oct52174340
922747307
1011073760
116283975
123860514
1323a9529
1416838ac
15e8b1aa
hexa8f8e0

11073760 has 48 divisors (see below), whose sum is σ = 26577936. Its totient is φ = 4359168.

The previous prime is 11073743. The next prime is 11073763. The reversal of 11073760 is 6737011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10204 + ... + 11236.

It is an arithmetic number, because the mean of its divisors is an integer number (553707).

Almost surely, 211073760 is an apocalyptic number.

11073760 is a gapful number since it is divisible by the number (10) 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 11073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288968).

11073760 is an abundant number, since it is smaller than the sum of its proper divisors (15504176).

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

11073760 is a wasteful number, since it uses less digits than its factorization.

11073760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 11073760 is about 3327.7259502549. The cubic root of 11073760 is about 222.8939953458.

The spelling of 11073760 in words is "eleven million, seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1033 1072 1340 2066 2144 2680 4132 5165 5360 8264 10330 10720 16528 20660 33056 41320 69211 82640 138422 165280 276844 346055 553688 692110 1107376 1384220 2214752 2768440 5536880 11073760