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11161296 = 243277509
BaseRepresentation
bin101010100100…
…111011010000
3210000001102100
4222210323100
510324130141
61035120400
7163604136
oct52447320
923001370
1011161296
116333713
1238a3100
13240a323
1416a7756
15ea70b6
hexaa4ed0

11161296 has 30 divisors (see below), whose sum is σ = 31236530. Its totient is φ = 3720384.

The previous prime is 11161291. The next prime is 11161301. The reversal of 11161296 is 69216111.

It is an interprime number because it is at equal distance from previous prime (11161291) and next prime (11161301).

It can be written as a sum of positive squares in only one way, i.e., 11128896 + 32400 = 3336^2 + 180^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161291) 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 5 ways as a sum of consecutive naturals, for example, 38611 + ... + 38898.

Almost surely, 211161296 is an apocalyptic number.

11161296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11161296 is an abundant number, since it is smaller than the sum of its proper divisors (20075234).

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

11161296 is a wasteful number, since it uses less digits than its factorization.

11161296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77523 (or 77514 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 11161296 is about 3340.8525857930. The cubic root of 11161296 is about 223.4797663469.

The spelling of 11161296 in words is "eleven million, one hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 77509 155018 232527 310036 465054 620072 697581 930108 1240144 1395162 1860216 2790324 3720432 5580648 11161296