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11982608 = 2411103661
BaseRepresentation
bin101101101101…
…011100010000
3211112210001022
4231231130100
511031420413
61104455012
7203564501
oct55553420
924483038
1011982608
116844790
12401a468
132637101
14183cba8
1510ba608
hexb6d710

11982608 has 40 divisors (see below), whose sum is σ = 25611456. Its totient is φ = 5385600.

The previous prime is 11982601. The next prime is 11982617. The reversal of 11982608 is 80628911.

11982608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11982601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17798 + ... + 18458.

Almost surely, 211982608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11982608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805728).

11982608 is an abundant number, since it is smaller than the sum of its proper divisors (13628848).

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

11982608 is a wasteful number, since it uses less digits than its factorization.

11982608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 11982608 is about 3461.5903859353. The cubic root of 11982608 is about 228.8321901993.

The spelling of 11982608 in words is "eleven million, nine hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 661 824 1133 1322 1648 2266 2644 4532 5288 7271 9064 10576 14542 18128 29084 58168 68083 116336 136166 272332 544664 748913 1089328 1497826 2995652 5991304 11982608