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11049696 = 25357229
BaseRepresentation
bin101010001001…
…101011100000
3202210101100000
4222021223200
510312042241
61032500000
7162630600
oct52115340
922711300
1011049696
116267889
12384a600
13239b5a8
141678c00
15e83eb6
hexa89ae0

11049696 has 216 divisors, whose sum is σ = 39213720. Its totient is φ = 3048192.

The previous prime is 11049641. The next prime is 11049739. The reversal of 11049696 is 69694011.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11049696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381010 + ... + 381038.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 211049696 is an apocalyptic number.

11049696 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 11049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

11049696 is an abundant number, since it is smaller than the sum of its proper divisors (28164024).

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

11049696 is an equidigital number, since it uses as much as digits as its factorization.

11049696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 11049696 is about 3324.1083014848. The cubic root of 11049696 is about 222.7324238759.

11049696 divided by its sum of digits (36) gives a triangular number (306936 = T783).

It can be divided in two parts, 110496 and 96, that added together give a cube (110592 = 483).

The spelling of 11049696 in words is "eleven million, forty-nine thousand, six hundred ninety-six".