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11053616 = 247223613
BaseRepresentation
bin101010001010…
…101000110000
3202210120201012
4222022220300
510312203431
61032530052
7162645200
oct52125060
922716635
1011053616
11626a822
123850928
1323a0302
14167a400
15e8522b
hexa8aa30

11053616 has 60 divisors (see below), whose sum is σ = 26038512. Its totient is φ = 4523904.

The previous prime is 11053613. The next prime is 11053619. The reversal of 11053616 is 61635011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11053613) and next prime (11053619).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11053591 and 11053600.

It is not an unprimeable number, because it can be changed into a prime (11053613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17726 + ... + 18338.

Almost surely, 211053616 is an apocalyptic number.

11053616 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 11053616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019256).

11053616 is an abundant number, since it is smaller than the sum of its proper divisors (14984896).

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

11053616 is a wasteful number, since it uses less digits than its factorization.

11053616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 11053616 is about 3324.6978810111. The cubic root of 11053616 is about 222.7587596796.

Adding to 11053616 its reverse (61635011), we get a palindrome (72688627).

The spelling of 11053616 in words is "eleven million, fifty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 613 644 784 1127 1226 1288 2254 2452 2576 4291 4508 4904 8582 9016 9808 14099 17164 18032 28198 30037 34328 56396 60074 68656 98693 112792 120148 197386 225584 240296 394772 480592 690851 789544 1381702 1579088 2763404 5526808 11053616