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11056992 = 253149773
BaseRepresentation
bin101010001011…
…011101100000
3202210202100020
4222023131200
510312310432
61032553440
7162661062
oct52133540
922722306
1011056992
116272311
123852880
1323a19cb
14167b732
15e8622c
hexa8b760

11056992 has 48 divisors (see below), whose sum is σ = 29257200. Its totient is φ = 3656192.

The previous prime is 11056979. The next prime is 11056999. The reversal of 11056992 is 29965011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056999) 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, 13918 + ... + 14690.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 211056992 is an apocalyptic number.

11056992 is a gapful number since it is divisible by the number (12) 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 11056992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628600).

11056992 is an abundant number, since it is smaller than the sum of its proper divisors (18200208).

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

11056992 is a wasteful number, since it uses less digits than its factorization.

11056992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 11056992 is about 3325.2055575558. The cubic root of 11056992 is about 222.7814357289.

The spelling of 11056992 in words is "eleven million, fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 773 894 1192 1546 1788 2319 2384 3092 3576 4638 4768 6184 7152 9276 12368 14304 18552 24736 37104 74208 115177 230354 345531 460708 691062 921416 1382124 1842832 2764248 3685664 5528496 11056992