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11369296 = 2419149251
BaseRepresentation
bin101011010111…
…101101010000
3210101121202001
4223113231100
510402304141
61043403344
7165431431
oct53275520
923347661
1011369296
116465a14
123983554
132480bc3
14171d488
15ee8a31
hexad7b50

11369296 has 40 divisors (see below), whose sum is σ = 23436000. Its totient is φ = 5328000.

The previous prime is 11369287. The next prime is 11369317. The reversal of 11369296 is 69296311.

11369296 is a nontrivial binomial coefficient, being equal to C(4769, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45171 + ... + 45421.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 211369296 is an apocalyptic number.

11369296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11369296 is the 4768-th triangular number.

11369296 is the 1590-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11369296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718000).

11369296 is an abundant number, since it is smaller than the sum of its proper divisors (12066704).

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

11369296 is a wasteful number, since it uses less digits than its factorization.

11369296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 11369296 is about 3371.8386675522. The cubic root of 11369296 is about 224.8594743918.

The spelling of 11369296 in words is "eleven million, three hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 149 152 251 298 304 502 596 1004 1192 2008 2384 2831 4016 4769 5662 9538 11324 19076 22648 37399 38152 45296 74798 76304 149596 299192 598384 710581 1421162 2842324 5684648 11369296