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11613616 = 247971069
BaseRepresentation
bin101100010011…
…010110110000
3210212000212221
4230103112300
510433113431
61052530424
7200466640
oct54232660
923760787
1011613616
116612533
123a80a14
132538181
141784520
151046111
hexb135b0

11613616 has 40 divisors (see below), whose sum is σ = 26005280. Its totient is φ = 4921344.

The previous prime is 11613593. The next prime is 11613629. The reversal of 11613616 is 61631611.

It is an unprimeable number.

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, 10330 + ... + 11398.

It is an arithmetic number, because the mean of its divisors is an integer number (650132).

Almost surely, 211613616 is an apocalyptic number.

11613616 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 11613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002640).

11613616 is an abundant number, since it is smaller than the sum of its proper divisors (14391664).

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

11613616 is a wasteful number, since it uses less digits than its factorization.

11613616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 11613616 is about 3407.8755845835. The cubic root of 11613616 is about 226.4587751692.

The spelling of 11613616 in words is "eleven million, six hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1069 1358 1552 2138 2716 4276 5432 7483 8552 10864 14966 17104 29932 59864 103693 119728 207386 414772 725851 829544 1451702 1659088 2903404 5806808 11613616