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11027616 = 253313367
BaseRepresentation
bin101010000100…
…010010100000
3202202021001020
4222010102200
510310340431
61032205440
7162506325
oct52042240
922667036
1011027616
116252236
123839880
132391522
141670b4c
15e7c696
hexa844a0

11027616 has 48 divisors (see below), whose sum is σ = 29119104. Its totient is φ = 3654144.

The previous prime is 11027609. The next prime is 11027617. The reversal of 11027616 is 61672011.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29865 + ... + 30231.

It is an arithmetic number, because the mean of its divisors is an integer number (606648).

Almost surely, 211027616 is an apocalyptic number.

11027616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11027616 is an abundant number, since it is smaller than the sum of its proper divisors (18091488).

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

11027616 is a wasteful number, since it uses less digits than its factorization.

11027616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11027616 is about 3320.7854492574. The cubic root of 11027616 is about 222.5839669620.

Adding to 11027616 its reverse (61672011), we get a palindrome (72699627).

The spelling of 11027616 in words is "eleven million, twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 367 626 734 939 1101 1252 1468 1878 2202 2504 2936 3756 4404 5008 5872 7512 8808 10016 11744 15024 17616 30048 35232 114871 229742 344613 459484 689226 918968 1378452 1837936 2756904 3675872 5513808 11027616